subject:(Homological Theory)

Columbia University

1. Qi, You. Hopfological Algebra.

Degree: 2013, Columbia University

We develop some basic homological theory of hopfological algebra as defined by Khovanov. A simplicial bar resolution for an arbitrary hopfological module is constructed, and some derived analogue of Morita theory is established. We also discuss about some special classes of examples that appear naturally in categorification.

Subjects/Keywords: Mathematics; Homology theory; Algebra, Homological; Categories (Mathematics)

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APA (6^th Edition):

Qi, Y. (2013). Hopfological Algebra. (Doctoral Dissertation). Columbia University. Retrieved from https://doi.org/10.7916/D8G73M28

Chicago Manual of Style (16^th Edition):

Qi, You. “Hopfological Algebra.” 2013. Doctoral Dissertation, Columbia University. Accessed January 24, 2021. https://doi.org/10.7916/D8G73M28.

MLA Handbook (7^th Edition):

Qi, You. “Hopfological Algebra.” 2013. Web. 24 Jan 2021.

Vancouver:

Qi Y. Hopfological Algebra. [Internet] [Doctoral dissertation]. Columbia University; 2013. [cited 2021 Jan 24]. Available from: https://doi.org/10.7916/D8G73M28.

Council of Science Editors:

Qi Y. Hopfological Algebra. [Doctoral Dissertation]. Columbia University; 2013. Available from: https://doi.org/10.7916/D8G73M28

University of Kansas

2. Sanders, William Thomas. Categorical and homological aspects of module theory over commutative rings.

Degree: PhD, Mathematics, 2015, University of Kansas

URL: http://hdl.handle.net/1808/19488

► The purpose of this work is to understand the structure of the subcategories of mod(R) and the derived category D^b(R) for a commutative Noetherian ring… (more)

Subjects/Keywords: Mathematics; Category Theory; Commutative Algebra; Homological Algebra

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APA (6^th Edition):

Sanders, W. T. (2015). Categorical and homological aspects of module theory over commutative rings. (Doctoral Dissertation). University of Kansas. Retrieved from http://hdl.handle.net/1808/19488

Chicago Manual of Style (16^th Edition):

Sanders, William Thomas. “Categorical and homological aspects of module theory over commutative rings.” 2015. Doctoral Dissertation, University of Kansas. Accessed January 24, 2021. http://hdl.handle.net/1808/19488.

MLA Handbook (7^th Edition):

Sanders, William Thomas. “Categorical and homological aspects of module theory over commutative rings.” 2015. Web. 24 Jan 2021.

Vancouver:

Sanders WT. Categorical and homological aspects of module theory over commutative rings. [Internet] [Doctoral dissertation]. University of Kansas; 2015. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/1808/19488.

Council of Science Editors:

Sanders WT. Categorical and homological aspects of module theory over commutative rings. [Doctoral Dissertation]. University of Kansas; 2015. Available from: http://hdl.handle.net/1808/19488

University of Iowa

3. Meyer, David Christopher. Universal deformation rings and fusion.

Degree: PhD, Mathematics, 2015, University of Iowa

URL: https://ir.uiowa.edu/etd/1883

► This thesis is on the representation theory of finite groups. Specifically, it is about finding connections between fusion and universal deformation rings. Two elements… (more)

Subjects/Keywords: publicabstract; Group theory; Homological algebra; Representation theory; Universal deformation rings; Mathematics

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APA (6^th Edition):

Meyer, D. C. (2015). Universal deformation rings and fusion. (Doctoral Dissertation). University of Iowa. Retrieved from https://ir.uiowa.edu/etd/1883

Chicago Manual of Style (16^th Edition):

Meyer, David Christopher. “Universal deformation rings and fusion.” 2015. Doctoral Dissertation, University of Iowa. Accessed January 24, 2021. https://ir.uiowa.edu/etd/1883.

MLA Handbook (7^th Edition):

Meyer, David Christopher. “Universal deformation rings and fusion.” 2015. Web. 24 Jan 2021.

Vancouver:

Meyer DC. Universal deformation rings and fusion. [Internet] [Doctoral dissertation]. University of Iowa; 2015. [cited 2021 Jan 24]. Available from: https://ir.uiowa.edu/etd/1883.

Council of Science Editors:

Meyer DC. Universal deformation rings and fusion. [Doctoral Dissertation]. University of Iowa; 2015. Available from: https://ir.uiowa.edu/etd/1883

University of Rochester

4. Zeng, Mingcong (1990 - ). Mackey functions, equivariant Eilenberg-Mac Lane spectra and their slices.

Degree: PhD, 2018, University of Rochester

URL: http://hdl.handle.net/1802/34150

► This thesis has three parts. In the first part, we analyze the homological algebra of cohomological Mackey functors, for cyclic p-groups. We study basic properties… (more)

Subjects/Keywords: Equivaraint stable homotopy theory; Mackey functors; Homological algebra; Slice filtration

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APA (6^th Edition):

Zeng, M. (. -. ). (2018). Mackey functions, equivariant Eilenberg-Mac Lane spectra and their slices. (Doctoral Dissertation). University of Rochester. Retrieved from http://hdl.handle.net/1802/34150

Chicago Manual of Style (16^th Edition):

Zeng, Mingcong (1990 - ). “Mackey functions, equivariant Eilenberg-Mac Lane spectra and their slices.” 2018. Doctoral Dissertation, University of Rochester. Accessed January 24, 2021. http://hdl.handle.net/1802/34150.

MLA Handbook (7^th Edition):

Zeng, Mingcong (1990 - ). “Mackey functions, equivariant Eilenberg-Mac Lane spectra and their slices.” 2018. Web. 24 Jan 2021.

Vancouver:

Zeng M(-). Mackey functions, equivariant Eilenberg-Mac Lane spectra and their slices. [Internet] [Doctoral dissertation]. University of Rochester; 2018. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/1802/34150.

Council of Science Editors:

Zeng M(-). Mackey functions, equivariant Eilenberg-Mac Lane spectra and their slices. [Doctoral Dissertation]. University of Rochester; 2018. Available from: http://hdl.handle.net/1802/34150

Syracuse University

5. DiMarco, Melissa Margaret. Finite Generation of Ext-Algebras of Finite Dimensional Algebras and Associated Monomial Algebras.

Degree: PhD, Mathematics, 2016, Syracuse University

URL: https://surface.syr.edu/etd/639

► In this thesis, we investigate the Ext-algebra of a basic, finite dimensional K-algebra A=K\mathcal{Q}/I, where K is an algebraically closed field and \mathcal{Q} is… (more)

Subjects/Keywords: Homological Algebra; Representation Theory; Physical Sciences and Mathematics

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APA (6^th Edition):

DiMarco, M. M. (2016). Finite Generation of Ext-Algebras of Finite Dimensional Algebras and Associated Monomial Algebras. (Doctoral Dissertation). Syracuse University. Retrieved from https://surface.syr.edu/etd/639

Chicago Manual of Style (16^th Edition):

DiMarco, Melissa Margaret. “Finite Generation of Ext-Algebras of Finite Dimensional Algebras and Associated Monomial Algebras.” 2016. Doctoral Dissertation, Syracuse University. Accessed January 24, 2021. https://surface.syr.edu/etd/639.

MLA Handbook (7^th Edition):

DiMarco, Melissa Margaret. “Finite Generation of Ext-Algebras of Finite Dimensional Algebras and Associated Monomial Algebras.” 2016. Web. 24 Jan 2021.

Vancouver:

DiMarco MM. Finite Generation of Ext-Algebras of Finite Dimensional Algebras and Associated Monomial Algebras. [Internet] [Doctoral dissertation]. Syracuse University; 2016. [cited 2021 Jan 24]. Available from: https://surface.syr.edu/etd/639.

Council of Science Editors:

DiMarco MM. Finite Generation of Ext-Algebras of Finite Dimensional Algebras and Associated Monomial Algebras. [Doctoral Dissertation]. Syracuse University; 2016. Available from: https://surface.syr.edu/etd/639

6. Baraconi, Anthony. Homological algebra.

Degree: MS, Mathematics, 2013, Eastern Washington University

URL: https://dc.ewu.edu/theses/141

"This thesis gives some results in the topics of modules and categories as they directly relate with the functor Ext used in homological algebra." – Document. Advisors/Committee Members: Ron Gentle, Dale Garraway, Dan Tappan.

Subjects/Keywords: Algebra; Homological; Functor theory; Categories (Mathematics); Physical Sciences and Mathematics

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APA (6^th Edition):

Baraconi, A. (2013). Homological algebra. (Thesis). Eastern Washington University. Retrieved from https://dc.ewu.edu/theses/141

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Baraconi, Anthony. “Homological algebra.” 2013. Thesis, Eastern Washington University. Accessed January 24, 2021. https://dc.ewu.edu/theses/141.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Baraconi, Anthony. “Homological algebra.” 2013. Web. 24 Jan 2021.

Vancouver:

Baraconi A. Homological algebra. [Internet] [Thesis]. Eastern Washington University; 2013. [cited 2021 Jan 24]. Available from: https://dc.ewu.edu/theses/141.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Baraconi A. Homological algebra. [Thesis]. Eastern Washington University; 2013. Available from: https://dc.ewu.edu/theses/141

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Oregon

7. Raies, Daniel. Mackey Functors over the Group Z/2 and Computations in Homological Algebra.

Degree: PhD, Department of Mathematics, 2019, University of Oregon

URL: https://scholarsbank.uoregon.edu/xmlui/handle/1794/24925

► Mackey functors over the group Z/2 are useful in the study of Z/2-equivariant cohomology. In this dissertation we establish results which are useful for homological… (more)

Subjects/Keywords: Bredon Cohomology; Homological Algebra; Homotopy Theory; Mackey Functors

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Raies, D. (2019). Mackey Functors over the Group Z/2 and Computations in Homological Algebra. (Doctoral Dissertation). University of Oregon. Retrieved from https://scholarsbank.uoregon.edu/xmlui/handle/1794/24925

Chicago Manual of Style (16^th Edition):

Raies, Daniel. “Mackey Functors over the Group Z/2 and Computations in Homological Algebra.” 2019. Doctoral Dissertation, University of Oregon. Accessed January 24, 2021. https://scholarsbank.uoregon.edu/xmlui/handle/1794/24925.

MLA Handbook (7^th Edition):

Raies, Daniel. “Mackey Functors over the Group Z/2 and Computations in Homological Algebra.” 2019. Web. 24 Jan 2021.

Vancouver:

Raies D. Mackey Functors over the Group Z/2 and Computations in Homological Algebra. [Internet] [Doctoral dissertation]. University of Oregon; 2019. [cited 2021 Jan 24]. Available from: https://scholarsbank.uoregon.edu/xmlui/handle/1794/24925.

Council of Science Editors:

Raies D. Mackey Functors over the Group Z/2 and Computations in Homological Algebra. [Doctoral Dissertation]. University of Oregon; 2019. Available from: https://scholarsbank.uoregon.edu/xmlui/handle/1794/24925

University of Aberdeen

8. Junod, Fabien. Unstable Adams operations on ρ-local compact groups.

Degree: PhD, 2008, University of Aberdeen

URL: https://eu03.alma.exlibrisgroup.com/view/delivery/44ABE_INST/12153434380005941 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.531931

► Let G be any compact connected Lie group and let T ≤ G be a maximal torus. Then for any unstable Adams operation f of… (more)

Subjects/Keywords: 510; K-theory; Algebra, Homological

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Junod, F. (2008). Unstable Adams operations on ρ-local compact groups. (Doctoral Dissertation). University of Aberdeen. Retrieved from https://eu03.alma.exlibrisgroup.com/view/delivery/44ABE_INST/12153434380005941 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.531931

Chicago Manual of Style (16^th Edition):

Junod, Fabien. “Unstable Adams operations on ρ-local compact groups.” 2008. Doctoral Dissertation, University of Aberdeen. Accessed January 24, 2021. https://eu03.alma.exlibrisgroup.com/view/delivery/44ABE_INST/12153434380005941 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.531931.

MLA Handbook (7^th Edition):

Junod, Fabien. “Unstable Adams operations on ρ-local compact groups.” 2008. Web. 24 Jan 2021.

Vancouver:

Junod F. Unstable Adams operations on ρ-local compact groups. [Internet] [Doctoral dissertation]. University of Aberdeen; 2008. [cited 2021 Jan 24]. Available from: https://eu03.alma.exlibrisgroup.com/view/delivery/44ABE_INST/12153434380005941 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.531931.

Council of Science Editors:

Junod F. Unstable Adams operations on ρ-local compact groups. [Doctoral Dissertation]. University of Aberdeen; 2008. Available from: https://eu03.alma.exlibrisgroup.com/view/delivery/44ABE_INST/12153434380005941 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.531931

Tartu University

9. Reimaa, Ülo. Non-unital Morita equivalence in a bicategorical setting .

Degree: 2017, Tartu University

URL: http://hdl.handle.net/10062/56994

► Morita teooria sai alguse Jaapani matemaatiku Kiiti Morita töös moodulite duaalsuse alal, mis avaldati aastal 1958. Morita defineeris ekvivalentsiseose ringide klassil ringide moodulite kategooriate ekvivalentsuse… (more)

▼ Morita teooria sai alguse Jaapani matemaatiku Kiiti Morita töös moodulite duaalsuse alal, mis avaldati aastal 1958. Morita defineeris ekvivalentsiseose ringide klassil ringide moodulite kategooriate ekvivalentsuse kaudu. Ta tõestas ka mõned alustulemused selle ekvivalentsiseose kohta ning tänapäeval kutsutakse seda seost Morita ekvivalentsiks ning neid tulemusi Morita teoreemideks. Ringide korral on Morita ekvivalentsil mitmeid samaväärseid vorme. Morita ekvivalentsi mõistet on nüüdseks rakendatud mitmesugustele teistele struktuuridele. Seda on tehtud kasutades erinevaid tingimusi, mis ringide korral kokku langevad, kuid muude struktuuride korral seda teha ei pruugi. Mõni tingimus pole isegi teistsuguses kontekstis sõnastatav. Mitmed inimesed on pannud tähele, et suur osa Morita teooriast on seotud loomuliku bikategoorse struktuuriga moodulitel. Tänapäeval on see fakt võrdlemisi tuntud. Bikategooriatest võib mõelda kui moodulite tensorkorrutise abstraktsioonist, mis jätab alles ainult tensorkorrutise bifunktoriaalsuse, assotsiatiivsuse ja ühikute olemasolu. Kuigi on teada, et Morita ekvivalentsil on bikategoorses keskkonnas hea teooria, on mitmeid olukordi, kuhu meil bikategoorne keskkond ei rakendu. Selline on olukord näiteks ühikuta ringide korral, mis pole üldsegi eksootiline näide. Selles töös nõrgendatakse bikategooria eeldusi, lastes bikategooria ühikutel olla lõtv. Paistab, et see on õige lähenemine, et uurida abstraktset Morita teooriat ühikuta struktuuride, näiteks ühikuta ringide ning poolrühmade korral. Töös uuritakse, kuidas ekvivalentsuse definitsioonid erinevatel eeldustel kokku langevad või erinevaid mõisteid annavad. Töö lõpus näidatakse, kuidas saab selliseid üldiseid lõtvu bikategoorseid struktuure koostada üldise ühikuta multiplikatiivsete struktuuride korral – seda siis poolrühmobjektide jaoks monoidkategoorias. Kuigi enamasti ei ole see konstruktsioon uus, illustreerib see töö eesmärki.; Morita theory originates from the work of Kiiti Morita, a Japanese mathematician, who introduced the concept in a paper of his in 1958, where he studied the theory of dualities of modules. Morita defined an equivalence relation on rings in terms of the equivalence of categories of modules. He proved some fundamental properties of the relation and nowadays the relation is known as Morita equivalence and the properties are known as Morita theorems. In the case of rings, Morita equivalence has many equivalent formulations. The notion of Morita equivalence has since then been used for various different structures, using differing formulations inspired by the theory's original context, the case of rings. Often, not all of the different formulations of Morita equivalence coincide for some given structure, some of the conditions might not even be applicable for certain structures. It has been observed by many people, and in these days it is quite well known, that at lot of aspects of Morita theory have to do with the natural bicategorical structure on modules. Bicategories can be thought of as abstractions of… Advisors/Committee Members: Laan, Valdis, juhendaja (advisor).

Subjects/Keywords: poolrühmad (mat.); homoloogiline algebra; kategooriateooria; semigroups (math.); homological algebra; category theory

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APA (6^th Edition):

Reimaa, �. (2017). Non-unital Morita equivalence in a bicategorical setting . (Thesis). Tartu University. Retrieved from http://hdl.handle.net/10062/56994

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Reimaa, Ülo. “Non-unital Morita equivalence in a bicategorical setting .” 2017. Thesis, Tartu University. Accessed January 24, 2021. http://hdl.handle.net/10062/56994.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Reimaa, Ülo. “Non-unital Morita equivalence in a bicategorical setting .” 2017. Web. 24 Jan 2021.

Vancouver:

Reimaa �. Non-unital Morita equivalence in a bicategorical setting . [Internet] [Thesis]. Tartu University; 2017. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/10062/56994.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Reimaa �. Non-unital Morita equivalence in a bicategorical setting . [Thesis]. Tartu University; 2017. Available from: http://hdl.handle.net/10062/56994

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of Aberdeen

10. Junod, Fabien. Unstable Adams operations on ρ-local compact groups.

Degree: Dept. of Mathematics., 2008, University of Aberdeen

URL: http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?application=DIGITOOL-3&owner=resourcediscovery&custom_att_2=simple_viewer&pid= ; http://digitool.abdn.ac.uk:1801/webclient/DeliveryManager?pid=210748&custom_att_2=simple_viewer

Subjects/Keywords: K-theory.; Algebra, Homological.

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Junod, F. (2008). Unstable Adams operations on ρ-local compact groups. (Doctoral Dissertation). University of Aberdeen. Retrieved from http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?application=DIGITOOL-3&owner=resourcediscovery&custom_att_2=simple_viewer&pid= ; http://digitool.abdn.ac.uk:1801/webclient/DeliveryManager?pid=210748&custom_att_2=simple_viewer

Chicago Manual of Style (16^th Edition):

Junod, Fabien. “Unstable Adams operations on ρ-local compact groups.” 2008. Doctoral Dissertation, University of Aberdeen. Accessed January 24, 2021. http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?application=DIGITOOL-3&owner=resourcediscovery&custom_att_2=simple_viewer&pid= ; http://digitool.abdn.ac.uk:1801/webclient/DeliveryManager?pid=210748&custom_att_2=simple_viewer.

MLA Handbook (7^th Edition):

Junod, Fabien. “Unstable Adams operations on ρ-local compact groups.” 2008. Web. 24 Jan 2021.

Vancouver:

Junod F. Unstable Adams operations on ρ-local compact groups. [Internet] [Doctoral dissertation]. University of Aberdeen; 2008. [cited 2021 Jan 24]. Available from: http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?application=DIGITOOL-3&owner=resourcediscovery&custom_att_2=simple_viewer&pid= ; http://digitool.abdn.ac.uk:1801/webclient/DeliveryManager?pid=210748&custom_att_2=simple_viewer.

Council of Science Editors:

Junod F. Unstable Adams operations on ρ-local compact groups. [Doctoral Dissertation]. University of Aberdeen; 2008. Available from: http://digitool.abdn.ac.uk:80/webclient/DeliveryManager?application=DIGITOOL-3&owner=resourcediscovery&custom_att_2=simple_viewer&pid= ; http://digitool.abdn.ac.uk:1801/webclient/DeliveryManager?pid=210748&custom_att_2=simple_viewer

11. NG E-JAY. Homological Functors with Coefficients.

Degree: 2011, National University of Singapore

URL: http://scholarbank.nus.edu.sg/handle/10635/25804

Subjects/Keywords: K-theory; homotopy theory; homological algebra

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APA (6^th Edition):

E-JAY, N. (2011). Homological Functors with Coefficients. (Thesis). National University of Singapore. Retrieved from http://scholarbank.nus.edu.sg/handle/10635/25804

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

E-JAY, NG. “Homological Functors with Coefficients.” 2011. Thesis, National University of Singapore. Accessed January 24, 2021. http://scholarbank.nus.edu.sg/handle/10635/25804.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

E-JAY, NG. “Homological Functors with Coefficients.” 2011. Web. 24 Jan 2021.

Vancouver:

E-JAY N. Homological Functors with Coefficients. [Internet] [Thesis]. National University of Singapore; 2011. [cited 2021 Jan 24]. Available from: http://scholarbank.nus.edu.sg/handle/10635/25804.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

E-JAY N. Homological Functors with Coefficients. [Thesis]. National University of Singapore; 2011. Available from: http://scholarbank.nus.edu.sg/handle/10635/25804

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of California – Berkeley

12. Johnson-Freyd, Theodore Paul. Perturbative Methods in Path Integration.

Degree: Mathematics, 2013, University of California – Berkeley

URL: http://www.escholarship.org/uc/item/98s1r2pc

► This dissertation addresses a number of related questions concerning perturbative "path" integrals. Perturbative methods are one of the few successful ways physicists have worked with… (more)

▼ This dissertation addresses a number of related questions concerning perturbative "path" integrals. Perturbative methods are one of the few successful ways physicists have worked with (or even defined) these infinite-dimensional integrals, and it is important as mathematicians to check that they are correct.Chapter 0 provides a detailed introduction. We take a classical approach to path integrals in Chapter 1. Following standard arguments, we posit a Feynman-diagrammatic description of the asymptotics of the time-evolution operator for the quantum mechanics of a charged particle moving nonrelativistically through a curved manifold under the influence of an external electromagnetic field. We check that our sum of Feynman diagrams has all desired properties: it is coordinate-independent and well-defined without ultraviolet divergences, it satisfies the correct composition law, and it satisfies Schrödinger's equation thought of as a boundary-value problem in PDE. Path integrals in quantum mechanics and elsewhere in quantum field theory are almost always of the shape ∫ f e^s for some functions f (the "observable") and s (the "action"). In Chapter 2 we step back to analyze integrals of this type more generally. Integration by parts provides algebraic relations between the values of ∫ (-) e^s for different inputs, which can be packaged into a Batalin–Vilkovisky-type chain complex. Using some simple homological perturbation theory, we study the version of this complex that arises when f and s are taken to be polynomial functions, and power series are banished. We find that in such cases, the entire scheme-theoretic critical locus (complex points included) of s plays an important role, and that one can uniformly (but noncanonically) integrate out in a purely algebraic way the contributions to the integral from all "higher modes," reducing ∫ f e^s to an integral over the critical locus. This may help explain the presence of analytic continuation in questions like the Volume Conjecture. We end with Chapter 3, in which the role of integration is somewhat obscured, but perturbation theory is prominent. The Batalin–Vilkovisky homological approach to integration illustrates that there are generalizations of the notion of "integral" analogous to the generalization from cotangent bundles to Poisson manifolds. The AKSZ construction of topological quantum field theories fits into this approach; in what is usually called "AKSZ theory," everything is still required to be symplectic.Using factorization algebras as a framework for (topological) quantum field theory, we construct a one-dimensional Poisson AKSZ field theory for any formal Poisson manifold M. Quantizations of our field theory correspond to formal star-products on M. By using a ``universal'' formal Poisson manifold and abandoning configuration-space integrals in…

Subjects/Keywords: Mathematics; Physics; BV quantization; factorization algebras; Feynman diagrams; homological algebra; quantum field theory; quantum mechanics

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APA (6^th Edition):

Johnson-Freyd, T. P. (2013). Perturbative Methods in Path Integration. (Thesis). University of California – Berkeley. Retrieved from http://www.escholarship.org/uc/item/98s1r2pc

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Johnson-Freyd, Theodore Paul. “Perturbative Methods in Path Integration.” 2013. Thesis, University of California – Berkeley. Accessed January 24, 2021. http://www.escholarship.org/uc/item/98s1r2pc.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Johnson-Freyd, Theodore Paul. “Perturbative Methods in Path Integration.” 2013. Web. 24 Jan 2021.

Vancouver:

Johnson-Freyd TP. Perturbative Methods in Path Integration. [Internet] [Thesis]. University of California – Berkeley; 2013. [cited 2021 Jan 24]. Available from: http://www.escholarship.org/uc/item/98s1r2pc.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Johnson-Freyd TP. Perturbative Methods in Path Integration. [Thesis]. University of California – Berkeley; 2013. Available from: http://www.escholarship.org/uc/item/98s1r2pc

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

University of California – San Diego

13. Weispfenning, Stephan. Invariant Theory of Preprojective Algebras.

Degree: Mathematics, 2018, University of California – San Diego

URL: http://www.escholarship.org/uc/item/4qz3m17m

► Studying invariant theory of commutative polynomial rings has motivated many developments in commutative algebra and algebraic geometry. For a finite group acting on a polynomial… (more)

Subjects/Keywords: Mathematics; generalized Gorenstein condition; homological determinant; invariant theory; preprojective algebra; twisted Calabi-Yau

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Weispfenning, S. (2018). Invariant Theory of Preprojective Algebras. (Thesis). University of California – San Diego. Retrieved from http://www.escholarship.org/uc/item/4qz3m17m

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Weispfenning, Stephan. “Invariant Theory of Preprojective Algebras.” 2018. Thesis, University of California – San Diego. Accessed January 24, 2021. http://www.escholarship.org/uc/item/4qz3m17m.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Weispfenning, Stephan. “Invariant Theory of Preprojective Algebras.” 2018. Web. 24 Jan 2021.

Vancouver:

Weispfenning S. Invariant Theory of Preprojective Algebras. [Internet] [Thesis]. University of California – San Diego; 2018. [cited 2021 Jan 24]. Available from: http://www.escholarship.org/uc/item/4qz3m17m.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Weispfenning S. Invariant Theory of Preprojective Algebras. [Thesis]. University of California – San Diego; 2018. Available from: http://www.escholarship.org/uc/item/4qz3m17m

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Universidade Estadual de Campinas

14. Lima, Francismar Ferreira, 1985-. Sigma-invariantes de grupos e conjectura n-(n+1)-(n+2) homológica: Sigma-invariants of groups and homological n-(n+1)-(n+2) conjecture.

Degree: 2016, Universidade Estadual de Campinas

URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/322690

► Abstract: A group G is of homological type FP_n, with n ≥ 0, if it has a projective resolution of finite type of \Z as… (more)

Subjects/Keywords: Teoria dos grupos; Álgebra homológica; Invariantes geométricos; Group theory; Homological algebra; Geometric invariants

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Lima, Francismar Ferreira, 1. (2016). Sigma-invariantes de grupos e conjectura n-(n+1)-(n+2) homológica: Sigma-invariants of groups and homological n-(n+1)-(n+2) conjecture. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/322690

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Lima, Francismar Ferreira, 1985-. “Sigma-invariantes de grupos e conjectura n-(n+1)-(n+2) homológica: Sigma-invariants of groups and homological n-(n+1)-(n+2) conjecture.” 2016. Thesis, Universidade Estadual de Campinas. Accessed January 24, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/322690.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Lima, Francismar Ferreira, 1985-. “Sigma-invariantes de grupos e conjectura n-(n+1)-(n+2) homológica: Sigma-invariants of groups and homological n-(n+1)-(n+2) conjecture.” 2016. Web. 24 Jan 2021.

Vancouver:

Lima, Francismar Ferreira 1. Sigma-invariantes de grupos e conjectura n-(n+1)-(n+2) homológica: Sigma-invariants of groups and homological n-(n+1)-(n+2) conjecture. [Internet] [Thesis]. Universidade Estadual de Campinas; 2016. [cited 2021 Jan 24]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/322690.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Lima, Francismar Ferreira 1. Sigma-invariantes de grupos e conjectura n-(n+1)-(n+2) homológica: Sigma-invariants of groups and homological n-(n+1)-(n+2) conjecture. [Thesis]. Universidade Estadual de Campinas; 2016. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/322690

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Michigan State University

15. Hickin, Kenneth Keller, 1947-. Homogeneous universal groups.

Degree: PhD, 1977, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:45015

Subjects/Keywords: Group theory; Algebra, Universal; Algebra, Homological

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Hickin, Kenneth Keller, 1. (1977). Homogeneous universal groups. (Doctoral Dissertation). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:45015

Chicago Manual of Style (16^th Edition):

Hickin, Kenneth Keller, 1947-. “Homogeneous universal groups.” 1977. Doctoral Dissertation, Michigan State University. Accessed January 24, 2021. http://etd.lib.msu.edu/islandora/object/etd:45015.

MLA Handbook (7^th Edition):

Hickin, Kenneth Keller, 1947-. “Homogeneous universal groups.” 1977. Web. 24 Jan 2021.

Vancouver:

Hickin, Kenneth Keller 1. Homogeneous universal groups. [Internet] [Doctoral dissertation]. Michigan State University; 1977. [cited 2021 Jan 24]. Available from: http://etd.lib.msu.edu/islandora/object/etd:45015.

Council of Science Editors:

Hickin, Kenneth Keller 1. Homogeneous universal groups. [Doctoral Dissertation]. Michigan State University; 1977. Available from: http://etd.lib.msu.edu/islandora/object/etd:45015

University of Oregon

16. Buursma, Doeke. Some Extension Algebras of Standard Modules over Khovanov-Lauda-Rouquier Algebras of Type A, Including A-Infinity Structure.

Degree: PhD, Department of Mathematics, 2020, University of Oregon

URL: https://scholarsbank.uoregon.edu/xmlui/handle/1794/25676

► We give an explicit description of the category of Yoneda extensions of standard modules over KLR algebras for two special cases in Lie type A.… (more)

Subjects/Keywords: A-infinity Algebras; Categorification; Homological Algebra; Khovanov-Lauda-Rouquier Algebras; Representation Theory

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Buursma, D. (2020). Some Extension Algebras of Standard Modules over Khovanov-Lauda-Rouquier Algebras of Type A, Including A-Infinity Structure. (Doctoral Dissertation). University of Oregon. Retrieved from https://scholarsbank.uoregon.edu/xmlui/handle/1794/25676

Chicago Manual of Style (16^th Edition):

Buursma, Doeke. “Some Extension Algebras of Standard Modules over Khovanov-Lauda-Rouquier Algebras of Type A, Including A-Infinity Structure.” 2020. Doctoral Dissertation, University of Oregon. Accessed January 24, 2021. https://scholarsbank.uoregon.edu/xmlui/handle/1794/25676.

MLA Handbook (7^th Edition):

Buursma, Doeke. “Some Extension Algebras of Standard Modules over Khovanov-Lauda-Rouquier Algebras of Type A, Including A-Infinity Structure.” 2020. Web. 24 Jan 2021.

Vancouver:

Buursma D. Some Extension Algebras of Standard Modules over Khovanov-Lauda-Rouquier Algebras of Type A, Including A-Infinity Structure. [Internet] [Doctoral dissertation]. University of Oregon; 2020. [cited 2021 Jan 24]. Available from: https://scholarsbank.uoregon.edu/xmlui/handle/1794/25676.

Council of Science Editors:

Buursma D. Some Extension Algebras of Standard Modules over Khovanov-Lauda-Rouquier Algebras of Type A, Including A-Infinity Structure. [Doctoral Dissertation]. University of Oregon; 2020. Available from: https://scholarsbank.uoregon.edu/xmlui/handle/1794/25676

University of Oxford

17. Kuckuck, Benno. Finiteness properties of fibre products.

Degree: PhD, 2012, University of Oxford

URL: http://ora.ox.ac.uk/objects/uuid:a9624d17-9d11-4bd0-8c46-78cbba73469c ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.581165

A group Γ is of type F_n for some n ≥ 1 if it has a classifying complex with finite n-skeleton. These properties generalise the classical notions of finite generation and finite presentability. We investigate the higher finiteness properties for fibre products of groups.

Subjects/Keywords: 512.2; Group theory and generalizations (mathematics); geometric group theory; homological group theory; subdirect products; finiteness properties

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Kuckuck, B. (2012). Finiteness properties of fibre products. (Doctoral Dissertation). University of Oxford. Retrieved from http://ora.ox.ac.uk/objects/uuid:a9624d17-9d11-4bd0-8c46-78cbba73469c ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.581165

Chicago Manual of Style (16^th Edition):

Kuckuck, Benno. “Finiteness properties of fibre products.” 2012. Doctoral Dissertation, University of Oxford. Accessed January 24, 2021. http://ora.ox.ac.uk/objects/uuid:a9624d17-9d11-4bd0-8c46-78cbba73469c ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.581165.

MLA Handbook (7^th Edition):

Kuckuck, Benno. “Finiteness properties of fibre products.” 2012. Web. 24 Jan 2021.

Vancouver:

Kuckuck B. Finiteness properties of fibre products. [Internet] [Doctoral dissertation]. University of Oxford; 2012. [cited 2021 Jan 24]. Available from: http://ora.ox.ac.uk/objects/uuid:a9624d17-9d11-4bd0-8c46-78cbba73469c ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.581165.

Council of Science Editors:

Kuckuck B. Finiteness properties of fibre products. [Doctoral Dissertation]. University of Oxford; 2012. Available from: http://ora.ox.ac.uk/objects/uuid:a9624d17-9d11-4bd0-8c46-78cbba73469c ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.581165

University of Texas – Austin

18. -6399-3239. Andre-Quillen (co)homology and equivariant stable homotopy theory.

Degree: PhD, Mathematics, 2019, University of Texas – Austin

URL: http://dx.doi.org/10.26153/tsw/3100

► Andre and Quillen introduced a (co)homology theory for augmented commutative rings. Strickland [31] initially proposed some issues with the analogue of the abelianization functor in… (more)

Subjects/Keywords: Algebraic topology; Homological algebra; Homotopy theory; Equivariant stable homotopy theory; Andre-Quillen cohomology; Mackey functor; Tambara functor; Green functor

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

-6399-3239. (2019). Andre-Quillen (co)homology and equivariant stable homotopy theory. (Doctoral Dissertation). University of Texas – Austin. Retrieved from http://dx.doi.org/10.26153/tsw/3100

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

Chicago Manual of Style (16^th Edition):

-6399-3239. “Andre-Quillen (co)homology and equivariant stable homotopy theory.” 2019. Doctoral Dissertation, University of Texas – Austin. Accessed January 24, 2021. http://dx.doi.org/10.26153/tsw/3100.

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

MLA Handbook (7^th Edition):

-6399-3239. “Andre-Quillen (co)homology and equivariant stable homotopy theory.” 2019. Web. 24 Jan 2021.

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

Vancouver:

-6399-3239. Andre-Quillen (co)homology and equivariant stable homotopy theory. [Internet] [Doctoral dissertation]. University of Texas – Austin; 2019. [cited 2021 Jan 24]. Available from: http://dx.doi.org/10.26153/tsw/3100.

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

Council of Science Editors:

-6399-3239. Andre-Quillen (co)homology and equivariant stable homotopy theory. [Doctoral Dissertation]. University of Texas – Austin; 2019. Available from: http://dx.doi.org/10.26153/tsw/3100

Note: this citation may be lacking information needed for this citation format:
Author name may be incomplete

McMaster University

19. Keiper, Graham. Torsion Products of Modules Over the Orbit Category.

Degree: MSc, 2016, McMaster University

URL: http://hdl.handle.net/11375/19892

►

The goal of this paper is to extend Sanders Mac Lane's formulation of the torsion product as equivalence classes of projective chain complexes in the… (more)

Subjects/Keywords: Modules Over Small Categories; Orbit Category; Torsion Product; Tor; Category Theory; Derived Functors; Homological Algebra; Matrix Ring

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Keiper, G. (2016). Torsion Products of Modules Over the Orbit Category. (Masters Thesis). McMaster University. Retrieved from http://hdl.handle.net/11375/19892

Chicago Manual of Style (16^th Edition):

Keiper, Graham. “Torsion Products of Modules Over the Orbit Category.” 2016. Masters Thesis, McMaster University. Accessed January 24, 2021. http://hdl.handle.net/11375/19892.

MLA Handbook (7^th Edition):

Keiper, Graham. “Torsion Products of Modules Over the Orbit Category.” 2016. Web. 24 Jan 2021.

Vancouver:

Keiper G. Torsion Products of Modules Over the Orbit Category. [Internet] [Masters thesis]. McMaster University; 2016. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/11375/19892.

Council of Science Editors:

Keiper G. Torsion Products of Modules Over the Orbit Category. [Masters Thesis]. McMaster University; 2016. Available from: http://hdl.handle.net/11375/19892

University of Cambridge

20. Goedecke, Julia. Three viewpoints on semi-abelian homology.

Degree: PhD, 2009, University of Cambridge

URL: https://doi.org/10.17863/CAM.16207 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.541726

► The main theme of the thesis is to present and compare three different viewpoints on semi-abelian homology, resulting in three ways of defining and calculating… (more)

▼ The main theme of the thesis is to present and compare three different viewpoints on semi-abelian homology, resulting in three ways of defining and calculating homology objects. Any two of these three homology theories coincide whenever they are both defined, but having these different approaches available makes it possible to choose the most appropriate one in any given situation, and their respective strengths complement each other to give powerful homological tools. The oldest viewpoint, which is borrowed from the abelian context where it was introduced by Barr and Beck, is comonadic homology, generating projective simplicial resolutions in a functorial way. This concept only works in monadic semi-abelian categories, such as semi-abelian varieties, including the categories of groups and Lie algebras. Comonadic homology can be viewed not only as a functor in the first entry, giving homology of objects for a particular choice of coefficients, but also as a functor in the second variable, varying the coefficients themselves. As such it has certain universality properties which single it out amongst theories of a similar kind. This is well-known in the setting of abelian categories, but here we extend this result to our semi-abelian context. Fixing the choice of coefficients again, the question naturally arises of how the homology theory depends on the chosen comonad. Again it is well-known in the abelian case that the theory only depends on the projective class which the comonad generates. We extend this to the semi-abelian setting by proving a comparison theorem for simplicial resolutions. This leads to the result that any two projective simplicial resolutions, the definition of which requires slightly more care in the semi-abelian setting, give rise to the same homology. Thus again the homology theory only depends on the projective class. The second viewpoint uses Hopf formulae to define homology, and works in a non-monadic setting; it only requires a semi-abelian category with enough projectives. Even this slightly weaker setting leads to strong results such as a long exact homology sequence, the Everaert sequence, which is a generalised and extended version of the Stallings-Stammbach sequence known for groups. Hopf formulae use projective presentations of objects, and this is closer to the abelian philosophy of using any projective resolution, rather than a special functorial one generated by a comonad. To define higher Hopf formulae for the higher homology objects the use of categorical Galois theory is crucial. This theory allows a choice of Birkhoff subcategory to generate a class of central extensions, which play a big role not only in the definition via Hopf formulae but also in our third viewpoint. This final and new viewpoint we consider is homology via satellites or pointwise Kan extensions. This makes the universal properties of the homology objects apparent, giving a useful new tool in dealing with statements about homology. The driving motivation behind this point of view is the Everaert sequence…

Subjects/Keywords: 519; Category Theory; Homological Algebra; semi-abelian categories; homology

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❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Goedecke, J. (2009). Three viewpoints on semi-abelian homology. (Doctoral Dissertation). University of Cambridge. Retrieved from https://doi.org/10.17863/CAM.16207 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.541726

Chicago Manual of Style (16^th Edition):

Goedecke, Julia. “Three viewpoints on semi-abelian homology.” 2009. Doctoral Dissertation, University of Cambridge. Accessed January 24, 2021. https://doi.org/10.17863/CAM.16207 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.541726.

MLA Handbook (7^th Edition):

Goedecke, Julia. “Three viewpoints on semi-abelian homology.” 2009. Web. 24 Jan 2021.

Vancouver:

Goedecke J. Three viewpoints on semi-abelian homology. [Internet] [Doctoral dissertation]. University of Cambridge; 2009. [cited 2021 Jan 24]. Available from: https://doi.org/10.17863/CAM.16207 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.541726.

Council of Science Editors:

Goedecke J. Three viewpoints on semi-abelian homology. [Doctoral Dissertation]. University of Cambridge; 2009. Available from: https://doi.org/10.17863/CAM.16207 ; https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.541726

University of Cambridge

21. Goedecke, Julia. Three viewpoints on semi-abelian homology.

Degree: PhD, 2009, University of Cambridge

URL: http://www.dspace.cam.ac.uk/handle/1810/224397https://www.repository.cam.ac.uk/bitstream/1810/224397/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/224397/5/JuliaGoedecke.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/224397/3/JuliaGoedecke.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/224397/6/JuliaGoedecke.pdf.jpg

► The main theme of the thesis is to present and compare three different viewpoints on semi-abelian homology, resulting in three ways of defining and calculating… (more)

▼ The main theme of the thesis is to present and compare three different viewpoints on semi-abelian homology, resulting in three ways of defining and calculating homology objects. Any two of these three homology theories coincide whenever they are both defined, but having these different approaches available makes it possible to choose the most appropriate one in any given situation, and their respective strengths complement each other to give powerful homological tools. The oldest viewpoint, which is borrowed from the abelian context where it was introduced by Barr and Beck, is comonadic homology, generating projective simplicial resolutions in a functorial way. This concept only works in monadic semi-abelian categories, such as semi-abelian varieties, including the categories of groups and Lie algebras. Comonadic homology can be viewed not only as a functor in the first entry, giving homology of objects for a particular choice of coefficients, but also as a functor in the second variable, varying the coefficients themselves. As such it has certain universality properties which single it out amongst theories of a similar kind. This is well-known in the setting of abelian categories, but here we extend this result to our semi-abelian context. Fixing the choice of coefficients again, the question naturally arises of how the homology theory depends on the chosen comonad. Again it is well-known in the abelian case that the theory only depends on the projective class which the comonad generates. We extend this to the semi-abelian setting by proving a comparison theorem for simplicial resolutions. This leads to the result that any two projective simplicial resolutions, the definition of which requires slightly more care in the semi-abelian setting, give rise to the same homology. Thus again the homology theory only depends on the projective class. The second viewpoint uses Hopf formulae to define homology, and works in a non-monadic setting; it only requires a semi-abelian category with enough projectives. Even this slightly weaker setting leads to strong results such as a long exact homology sequence, the Everaert sequence, which is a generalised and extended version of the Stallings-Stammbach sequence known for groups. Hopf formulae use projective presentations of objects, and this is closer to the abelian philosophy of using any projective resolution, rather than a special functorial one generated by a comonad. To define higher Hopf formulae for the higher homology objects the use of categorical Galois theory is crucial. This theory allows a choice of Birkhoff subcategory to generate a class of central extensions, which play a big role not only in the definition via Hopf formulae but also in our third viewpoint. This final and new viewpoint we consider is homology via satellites or pointwise Kan extensions. This makes the universal properties of the homology objects apparent, giving a useful new tool in dealing with statements about homology. The driving motivation behind this point of view is the…

Subjects/Keywords: Category Theory; Homological Algebra; semi-abelian categories; homology

Record Details Similar Records Cite « Share

❌

APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Goedecke, J. (2009). Three viewpoints on semi-abelian homology. (Doctoral Dissertation). University of Cambridge. Retrieved from http://www.dspace.cam.ac.uk/handle/1810/224397https://www.repository.cam.ac.uk/bitstream/1810/224397/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/224397/5/JuliaGoedecke.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/224397/3/JuliaGoedecke.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/224397/6/JuliaGoedecke.pdf.jpg

Chicago Manual of Style (16^th Edition):

Goedecke, Julia. “Three viewpoints on semi-abelian homology.” 2009. Doctoral Dissertation, University of Cambridge. Accessed January 24, 2021. http://www.dspace.cam.ac.uk/handle/1810/224397https://www.repository.cam.ac.uk/bitstream/1810/224397/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/224397/5/JuliaGoedecke.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/224397/3/JuliaGoedecke.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/224397/6/JuliaGoedecke.pdf.jpg.

MLA Handbook (7^th Edition):

Goedecke, Julia. “Three viewpoints on semi-abelian homology.” 2009. Web. 24 Jan 2021.

Vancouver:

Goedecke J. Three viewpoints on semi-abelian homology. [Internet] [Doctoral dissertation]. University of Cambridge; 2009. [cited 2021 Jan 24]. Available from: http://www.dspace.cam.ac.uk/handle/1810/224397https://www.repository.cam.ac.uk/bitstream/1810/224397/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/224397/5/JuliaGoedecke.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/224397/3/JuliaGoedecke.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/224397/6/JuliaGoedecke.pdf.jpg.

Council of Science Editors:

Goedecke J. Three viewpoints on semi-abelian homology. [Doctoral Dissertation]. University of Cambridge; 2009. Available from: http://www.dspace.cam.ac.uk/handle/1810/224397https://www.repository.cam.ac.uk/bitstream/1810/224397/2/license.txt ; https://www.repository.cam.ac.uk/bitstream/1810/224397/5/JuliaGoedecke.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/224397/3/JuliaGoedecke.pdf.txt ; https://www.repository.cam.ac.uk/bitstream/1810/224397/6/JuliaGoedecke.pdf.jpg

Michigan State University

22. Wu, Kedi. Integration of topological data analysis and machine learning for small molecule property predictions.

Degree: 2018, Michigan State University

URL: http://etd.lib.msu.edu/islandora/object/etd:16446

►

Thesis Ph. D. Michigan State University. Mathematics 2018

Accurate prediction of small molecule properties is of paramount importance to drug design and discovery. A variety… (more)

▼

Thesis Ph. D. Michigan State University. Mathematics 2018

Accurate prediction of small molecule properties is of paramount importance to drug design and discovery. A variety of quantitative properties of small molecules has been studied in this thesis. These properties include solvation free energy, partition coefficient, aqueous solubility, and toxicity endpoints. The highlight of this thesis is to introduce an algebraic topology based method, called element specific persistent homology (ESPH), to predict small molecule properties. Essentially ESPH describes molecular properties in terms of multiscale and multicomponent topological invariants and is different from conventional chemical and physical representations. Based on ESPH and its modified version, element-specific topological descriptors (ESTDs) are constructed. The advantage of ESTDs is that they are systematical, comprehensive, and scalable with respect to molecular size and composition variations, and are readily suitable for machine learning methods, rendering topological learning algorithms. Due to the inherent correlation between different small molecule properties, multi-task frameworks are further employed to simultaneously predict related properties. Deep neural networks, along with ensemble methods such as random forest and gradient boosting trees, are used to develop quantitative predictive models. Physical based molecular descriptors and auxiliary descriptors are also used in addition to ESTDs. As a result, we obtain state-of-the-art results for various benchmark data sets of small molecule properties. We have also developed two online servers for predicting properties of small molecules, TopP-S and TopTox. TopP-S is a software for topological learning predictions of partition coefficient and aqueous solubility, and TopTox is a software for computing element-specific tological descriptors (ESTDs) for toxicity endpoint predictions. They are available at http://weilab.math.msu.edu/TopP-S/ and http://weilab.math.msu.edu/TopTox/, respectively.

Description based on online resource;

Advisors/Committee Members: Wei, Guo-Wei, Chiu, Chichia, Tang, Moxun, Tong, Yiying.

Subjects/Keywords: Molecules – Properties – Mathematical models; Structure-activity relationships (Biochemistry) – Computer simulation; Machine learning; Algebra, Homological; Homology theory; Algebraic topology; Mathematics

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Wu, K. (2018). Integration of topological data analysis and machine learning for small molecule property predictions. (Thesis). Michigan State University. Retrieved from http://etd.lib.msu.edu/islandora/object/etd:16446

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Wu, Kedi. “Integration of topological data analysis and machine learning for small molecule property predictions.” 2018. Thesis, Michigan State University. Accessed January 24, 2021. http://etd.lib.msu.edu/islandora/object/etd:16446.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Wu, Kedi. “Integration of topological data analysis and machine learning for small molecule property predictions.” 2018. Web. 24 Jan 2021.

Vancouver:

Wu K. Integration of topological data analysis and machine learning for small molecule property predictions. [Internet] [Thesis]. Michigan State University; 2018. [cited 2021 Jan 24]. Available from: http://etd.lib.msu.edu/islandora/object/etd:16446.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Wu K. Integration of topological data analysis and machine learning for small molecule property predictions. [Thesis]. Michigan State University; 2018. Available from: http://etd.lib.msu.edu/islandora/object/etd:16446

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Universidade Estadual de Campinas

23. Lima, Igor dos Santos, 1983-. Completamentos Pro-p de grupos de dualidade de Poincaré: Pro-p completions of Poincaré duality groups.

Degree: 2012, Universidade Estadual de Campinas

URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306926

► Abstract: In this work we give in the Main Theorems suffiient conditions for that the pro- p completion of an abstract orientable PDn group to… (more)

Subjects/Keywords: Grupos topológicos; Álgebra homológica; Dualidade (Matemática); Grupos profinitos; Teoria dos grupos; Topological groups; Homological algebra; Duality theory (Mathematics); Profinite groups; Group theory

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Lima, Igor dos Santos, 1. (2012). Completamentos Pro-p de grupos de dualidade de Poincaré: Pro-p completions of Poincaré duality groups. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/306926

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Lima, Igor dos Santos, 1983-. “Completamentos Pro-p de grupos de dualidade de Poincaré: Pro-p completions of Poincaré duality groups.” 2012. Thesis, Universidade Estadual de Campinas. Accessed January 24, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306926.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Lima, Igor dos Santos, 1983-. “Completamentos Pro-p de grupos de dualidade de Poincaré: Pro-p completions of Poincaré duality groups.” 2012. Web. 24 Jan 2021.

Vancouver:

Lima, Igor dos Santos 1. Completamentos Pro-p de grupos de dualidade de Poincaré: Pro-p completions of Poincaré duality groups. [Internet] [Thesis]. Universidade Estadual de Campinas; 2012. [cited 2021 Jan 24]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306926.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Lima, Igor dos Santos 1. Completamentos Pro-p de grupos de dualidade de Poincaré: Pro-p completions of Poincaré duality groups. [Thesis]. Universidade Estadual de Campinas; 2012. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306926

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

24. Navkal, Viraj. K'-Theory of a Cohen-Macaulay Local Ring with n-Cluster Tilting Object.

Degree: Mathematics, 2013, UCLA

URL: http://www.escholarship.org/uc/item/7x30v25p

► In this dissertation we study the K'-theory of a Henselian CM local ring R which is an isolated singularity and has an n-cluster tilting object… (more)

Subjects/Keywords: Theoretical mathematics; Category Theory; Cohen-Macaulay; Homological Algebra; K-Theory

…Mathematics and Physics, University of Pennsylvania PUBLICATIONS 2012 “K ′ -Theory of a Local Ring… …Theory of a Complete Local Ring of Finite CM Type.” AMS Session on Categories, K-Theory, and… …of California, Riverside. September 2012 “K ′ -Theory of a Complete Local Ring of Finite… …can one say about the K ′ -theory of R? The original motivation for Question 1.1 was partly… …0 otherwise Since K-theory and Hochschild homology are closely related, one would expect…

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Navkal, V. (2013). K'-Theory of a Cohen-Macaulay Local Ring with n-Cluster Tilting Object. (Thesis). UCLA. Retrieved from http://www.escholarship.org/uc/item/7x30v25p

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Navkal, Viraj. “K'-Theory of a Cohen-Macaulay Local Ring with n-Cluster Tilting Object.” 2013. Thesis, UCLA. Accessed January 24, 2021. http://www.escholarship.org/uc/item/7x30v25p.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Navkal, Viraj. “K'-Theory of a Cohen-Macaulay Local Ring with n-Cluster Tilting Object.” 2013. Web. 24 Jan 2021.

Vancouver:

Navkal V. K'-Theory of a Cohen-Macaulay Local Ring with n-Cluster Tilting Object. [Internet] [Thesis]. UCLA; 2013. [cited 2021 Jan 24]. Available from: http://www.escholarship.org/uc/item/7x30v25p.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Navkal V. K'-Theory of a Cohen-Macaulay Local Ring with n-Cluster Tilting Object. [Thesis]. UCLA; 2013. Available from: http://www.escholarship.org/uc/item/7x30v25p

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Virginia Tech

25. Chasen, Lee A. The cohomology rings of classical Brauer tree algebras.

Degree: PhD, Mathematics, 1995, Virginia Tech

URL: http://hdl.handle.net/10919/38572

Subjects/Keywords: mathematics; algebra; ring theory; module theory; homological algebra; LD5655.V856 1995.C436

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APA (6^th Edition):

Chasen, L. A. (1995). The cohomology rings of classical Brauer tree algebras. (Doctoral Dissertation). Virginia Tech. Retrieved from http://hdl.handle.net/10919/38572

Chicago Manual of Style (16^th Edition):

Chasen, Lee A. “The cohomology rings of classical Brauer tree algebras.” 1995. Doctoral Dissertation, Virginia Tech. Accessed January 24, 2021. http://hdl.handle.net/10919/38572.

MLA Handbook (7^th Edition):

Chasen, Lee A. “The cohomology rings of classical Brauer tree algebras.” 1995. Web. 24 Jan 2021.

Vancouver:

Chasen LA. The cohomology rings of classical Brauer tree algebras. [Internet] [Doctoral dissertation]. Virginia Tech; 1995. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/10919/38572.

Council of Science Editors:

Chasen LA. The cohomology rings of classical Brauer tree algebras. [Doctoral Dissertation]. Virginia Tech; 1995. Available from: http://hdl.handle.net/10919/38572

University of Michigan

26. Talayco, Daniel Eric. Applications of homological algebra to questions in set theory: Gaps and trees.

Degree: PhD, Pure Sciences, 1993, University of Michigan

URL: http://hdl.handle.net/2027.42/129153

► Hausdorff gaps and Aronszajn trees are examples of objects which have been very important for set theoretic investigations. This dissertation shows how these objects are… (more)

Subjects/Keywords: Algebra; Applications; Aronszajn Trees; Hausdorff Gaps; Homological; Questions; Set; Theory

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APA (6^th Edition):

Talayco, D. E. (1993). Applications of homological algebra to questions in set theory: Gaps and trees. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/129153

Chicago Manual of Style (16^th Edition):

Talayco, Daniel Eric. “Applications of homological algebra to questions in set theory: Gaps and trees.” 1993. Doctoral Dissertation, University of Michigan. Accessed January 24, 2021. http://hdl.handle.net/2027.42/129153.

MLA Handbook (7^th Edition):

Talayco, Daniel Eric. “Applications of homological algebra to questions in set theory: Gaps and trees.” 1993. Web. 24 Jan 2021.

Vancouver:

Talayco DE. Applications of homological algebra to questions in set theory: Gaps and trees. [Internet] [Doctoral dissertation]. University of Michigan; 1993. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/2027.42/129153.

Council of Science Editors:

Talayco DE. Applications of homological algebra to questions in set theory: Gaps and trees. [Doctoral Dissertation]. University of Michigan; 1993. Available from: http://hdl.handle.net/2027.42/129153

University of Michigan

27. Dao, Hailong. Homological properties of modules over complete intersections.

Degree: PhD, Pure Sciences, 2006, University of Michigan

URL: http://hdl.handle.net/2027.42/126005

► Let R be a commutative, Notherian local hypersurface and M, N be finitely generated modules over R. Two properties of the pair (M, N) are… (more)

Subjects/Keywords: Complete Intersections; Decency; Homological; Intersection Theory; Over; Properties; Tor Modules

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APA · Chicago · MLA · Vancouver · CSE | Export to Zotero / EndNote / Reference Manager

APA (6^th Edition):

Dao, H. (2006). Homological properties of modules over complete intersections. (Doctoral Dissertation). University of Michigan. Retrieved from http://hdl.handle.net/2027.42/126005

Chicago Manual of Style (16^th Edition):

Dao, Hailong. “Homological properties of modules over complete intersections.” 2006. Doctoral Dissertation, University of Michigan. Accessed January 24, 2021. http://hdl.handle.net/2027.42/126005.

MLA Handbook (7^th Edition):

Dao, Hailong. “Homological properties of modules over complete intersections.” 2006. Web. 24 Jan 2021.

Vancouver:

Dao H. Homological properties of modules over complete intersections. [Internet] [Doctoral dissertation]. University of Michigan; 2006. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/2027.42/126005.

Council of Science Editors:

Dao H. Homological properties of modules over complete intersections. [Doctoral Dissertation]. University of Michigan; 2006. Available from: http://hdl.handle.net/2027.42/126005

Universidade Estadual de Campinas

28. Pinto, Aline Gomes da Silva. Propriedades homologicas de grupos pro-p: Homological properties of pro-p groups.

Degree: 2005, Universidade Estadual de Campinas

URL: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306931

► Abstract: In this work, we prove two results about homological properties of metabelian pro-p groups. The first one answers positively a conjecture suggested by J.… (more)

Subjects/Keywords: Grupos profinitos; Teoria dos grupos; Álgebra homológica; Profinite groups; Group theory; Homological algebra

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APA (6^th Edition):

Pinto, A. G. d. S. (2005). Propriedades homologicas de grupos pro-p: Homological properties of pro-p groups. (Thesis). Universidade Estadual de Campinas. Retrieved from http://repositorio.unicamp.br/jspui/handle/REPOSIP/306931

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Pinto, Aline Gomes da Silva. “Propriedades homologicas de grupos pro-p: Homological properties of pro-p groups.” 2005. Thesis, Universidade Estadual de Campinas. Accessed January 24, 2021. http://repositorio.unicamp.br/jspui/handle/REPOSIP/306931.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Pinto, Aline Gomes da Silva. “Propriedades homologicas de grupos pro-p: Homological properties of pro-p groups.” 2005. Web. 24 Jan 2021.

Vancouver:

Pinto AGdS. Propriedades homologicas de grupos pro-p: Homological properties of pro-p groups. [Internet] [Thesis]. Universidade Estadual de Campinas; 2005. [cited 2021 Jan 24]. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306931.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Pinto AGdS. Propriedades homologicas de grupos pro-p: Homological properties of pro-p groups. [Thesis]. Universidade Estadual de Campinas; 2005. Available from: http://repositorio.unicamp.br/jspui/handle/REPOSIP/306931

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Texas A&M University

29. McDonald, Terry Lynn. Piecewise polynomial functions on a planar region: boundary constraints and polyhedral subdivisions.

Degree: PhD, Mathematics, 2006, Texas A&M University

URL: http://hdl.handle.net/1969.1/3915

► Splines are piecewise polynomial functions of a given order of smoothness r on a triangulated region (or polyhedrally subdivided region) of Rd. The set of… (more)

▼ Splines are piecewise polynomial functions of a given order of smoothness r on a triangulated region (or polyhedrally subdivided region) of Rd. The set of splines of degree at most k forms a vector space Crk() Moreover, a nice way to study Cr k()is to embed n Rd+1, and form the cone b of with the origin. It turns out that the set of splines on b is a graded module Cr b() over the polynomial ring R[x1; : : : ; xd+1], and the dimension of Cr k() is the dimension o This dissertation follows the works of Billera and Rose, as well as Schenck and Stillman, who each approached the study of splines from the viewpoint of homological and commutative algebra. They both defined chain complexes of modules such that Cr(b) appeared as the top homology module. First, we analyze the effects of gluing planar simplicial complexes. Suppose 1, 2, and = 1 [ 2 are all planar simplicial complexes which triangulate pseudomanifolds. When 1 2 is also a planar simplicial complex, we use the Mayer-Vietoris sequence to obtain a natural relationship between the spline modules Cr(b), Cr (c1), Cr(c2), and Cr( 1 2). Next, given a simplicial complex , we study splines which also vanish on the boundary of. The set of all such splines is denoted by Cr(b). In this case, we will discover a formula relating the Hilbert polynomials of Cr(cb) and Cr (b). Finally, we consider splines which are defined on a polygonally subdivided region of the plane. By adding only edges to to form a simplicial subdivision , we will be able to find bounds for the dimensions of the vector spaces Cr k() for k 0. In particular, these bounds will be given in terms of the dimensions of the vector spaces Cr k() and geometrical data of both and . This dissertation concludes with some thoughts on future research questions and an appendix describing the Macaulay2 package SplineCode, which allows the study of the Hilbert polynomials of the spline modules. Advisors/Committee Members: Schenck, Henry (advisor), Amato, Nancy (committee member), Lima-Filho, Paulo (committee member), Stiller, Peter (committee member).

Subjects/Keywords: splines; approximation theory; homological algebra; commutative algebra; simplicial complexes; piecewise polynomial functions

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APA (6^th Edition):

McDonald, T. L. (2006). Piecewise polynomial functions on a planar region: boundary constraints and polyhedral subdivisions. (Doctoral Dissertation). Texas A&M University. Retrieved from http://hdl.handle.net/1969.1/3915

Chicago Manual of Style (16^th Edition):

McDonald, Terry Lynn. “Piecewise polynomial functions on a planar region: boundary constraints and polyhedral subdivisions.” 2006. Doctoral Dissertation, Texas A&M University. Accessed January 24, 2021. http://hdl.handle.net/1969.1/3915.

MLA Handbook (7^th Edition):

McDonald, Terry Lynn. “Piecewise polynomial functions on a planar region: boundary constraints and polyhedral subdivisions.” 2006. Web. 24 Jan 2021.

Vancouver:

McDonald TL. Piecewise polynomial functions on a planar region: boundary constraints and polyhedral subdivisions. [Internet] [Doctoral dissertation]. Texas A&M University; 2006. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/1969.1/3915.

Council of Science Editors:

McDonald TL. Piecewise polynomial functions on a planar region: boundary constraints and polyhedral subdivisions. [Doctoral Dissertation]. Texas A&M University; 2006. Available from: http://hdl.handle.net/1969.1/3915

Université de Montréal

30. Kratsios, Anastasis. Bounding The Hochschild Cohomological Dimension.

Degree: 2015, Université de Montréal

URL: http://hdl.handle.net/1866/12814

Subjects/Keywords: Relative Homological Algebra; Dimension Theory; Noncommutative Geometry; Hochschild Cohomology; Noncommutative Algebra; Algebraic Geometry; Homological Algebra; Algèbre homologique; Géométrie Algébrique; Noncommutative Differential Forms; Mathematics / Mathématiques (UMI : 0405)

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APA (6^th Edition):

Kratsios, A. (2015). Bounding The Hochschild Cohomological Dimension. (Thesis). Université de Montréal. Retrieved from http://hdl.handle.net/1866/12814

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^th Edition):

Kratsios, Anastasis. “Bounding The Hochschild Cohomological Dimension.” 2015. Thesis, Université de Montréal. Accessed January 24, 2021. http://hdl.handle.net/1866/12814.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^th Edition):

Kratsios, Anastasis. “Bounding The Hochschild Cohomological Dimension.” 2015. Web. 24 Jan 2021.

Vancouver:

Kratsios A. Bounding The Hochschild Cohomological Dimension. [Internet] [Thesis]. Université de Montréal; 2015. [cited 2021 Jan 24]. Available from: http://hdl.handle.net/1866/12814.

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Kratsios A. Bounding The Hochschild Cohomological Dimension. [Thesis]. Université de Montréal; 2015. Available from: http://hdl.handle.net/1866/12814

Note: this citation may be lacking information needed for this citation format:
Not specified: Masters Thesis or Doctoral Dissertation

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Open Access Theses and Dissertations