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University of Notre Dame

61. Angela Kohlhaas. The core of an ideal and its relationship to the adjoint and coefficient ideals</h1>.

Degree: Mathematics, 2010, University of Notre Dame

URL: https://curate.nd.edu/show/bv73bz62h3d

► Given an ideal I in a Noetherian ring R, the core of I is the intersection of all ideals contained in I with the…
(more)

Subjects/Keywords: exponent set; commutative algebra; birational geometry

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APA (6^{th} Edition):

Kohlhaas, A. (2010). The core of an ideal and its relationship to the adjoint and coefficient ideals</h1>. (Thesis). University of Notre Dame. Retrieved from https://curate.nd.edu/show/bv73bz62h3d

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):

Kohlhaas, Angela. “The core of an ideal and its relationship to the adjoint and coefficient ideals</h1>.” 2010. Thesis, University of Notre Dame. Accessed July 03, 2020. https://curate.nd.edu/show/bv73bz62h3d.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Kohlhaas, Angela. “The core of an ideal and its relationship to the adjoint and coefficient ideals</h1>.” 2010. Web. 03 Jul 2020.

Vancouver:

Kohlhaas A. The core of an ideal and its relationship to the adjoint and coefficient ideals</h1>. [Internet] [Thesis]. University of Notre Dame; 2010. [cited 2020 Jul 03]. Available from: https://curate.nd.edu/show/bv73bz62h3d.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Kohlhaas A. The core of an ideal and its relationship to the adjoint and coefficient ideals</h1>. [Thesis]. University of Notre Dame; 2010. Available from: https://curate.nd.edu/show/bv73bz62h3d

Not specified: Masters Thesis or Doctoral Dissertation

University of Toronto

62. Esentepe, Özgür. Annihilation of Cohomology over Gorenstein Rings.

Degree: PhD, 2019, University of Toronto

URL: http://hdl.handle.net/1807/97422

► One of the fundamental links between geometry and homological *algebra* is that smooth affine schemes have coordinate rings of finite global dimension. The roots of…
(more)

Subjects/Keywords: cohomology annihilator; commutative algebra; maximal cohen-macaulay modules; representation theory; stable annihilator; tate cohomology; 0405

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APA (6^{th} Edition):

Esentepe, . (2019). Annihilation of Cohomology over Gorenstein Rings. (Doctoral Dissertation). University of Toronto. Retrieved from http://hdl.handle.net/1807/97422

Chicago Manual of Style (16^{th} Edition):

Esentepe, Özgür. “Annihilation of Cohomology over Gorenstein Rings.” 2019. Doctoral Dissertation, University of Toronto. Accessed July 03, 2020. http://hdl.handle.net/1807/97422.

MLA Handbook (7^{th} Edition):

Esentepe, Özgür. “Annihilation of Cohomology over Gorenstein Rings.” 2019. Web. 03 Jul 2020.

Vancouver:

Esentepe . Annihilation of Cohomology over Gorenstein Rings. [Internet] [Doctoral dissertation]. University of Toronto; 2019. [cited 2020 Jul 03]. Available from: http://hdl.handle.net/1807/97422.

Council of Science Editors:

Esentepe . Annihilation of Cohomology over Gorenstein Rings. [Doctoral Dissertation]. University of Toronto; 2019. Available from: http://hdl.handle.net/1807/97422

Clemson University

63. Baumbaugh, Travis. Results on Common Left/Right Divisors of Skew Polynomials.

Degree: MS, Mathematical Science, 2016, Clemson University

URL: https://tigerprints.clemson.edu/all_theses/2413

► Since being introduced by Oystein Ore in his 1933 paper, “Theory of Non-*Commutative* Polynomials” [6], non-*commutative*, skew, or Ore polynomials have been studied extensively. One…
(more)

Subjects/Keywords: Abstract algebra; Coding Theory; Greatest common divisor; Non-commutative; Polynomial ring; Skew Polynomials

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APA (6^{th} Edition):

Baumbaugh, T. (2016). Results on Common Left/Right Divisors of Skew Polynomials. (Masters Thesis). Clemson University. Retrieved from https://tigerprints.clemson.edu/all_theses/2413

Chicago Manual of Style (16^{th} Edition):

Baumbaugh, Travis. “Results on Common Left/Right Divisors of Skew Polynomials.” 2016. Masters Thesis, Clemson University. Accessed July 03, 2020. https://tigerprints.clemson.edu/all_theses/2413.

MLA Handbook (7^{th} Edition):

Baumbaugh, Travis. “Results on Common Left/Right Divisors of Skew Polynomials.” 2016. Web. 03 Jul 2020.

Vancouver:

Baumbaugh T. Results on Common Left/Right Divisors of Skew Polynomials. [Internet] [Masters thesis]. Clemson University; 2016. [cited 2020 Jul 03]. Available from: https://tigerprints.clemson.edu/all_theses/2413.

Council of Science Editors:

Baumbaugh T. Results on Common Left/Right Divisors of Skew Polynomials. [Masters Thesis]. Clemson University; 2016. Available from: https://tigerprints.clemson.edu/all_theses/2413

University of Vienna

64. Perlega, Stefan. A new proof for the embedded resolution of surface singularities in arbitrary characteristic.

Degree: 2017, University of Vienna

URL: http://othes.univie.ac.at/49160/

►

In dieser Arbeit wird ein neuer Beweis für die eingebettete Auflösung von Flächensingularitäten in einem dreidimensionalen glatten Umgebungsraum über einem algebraisch abgeschlossenen Grundkörper beliebiger Charakteristik… (more)

Subjects/Keywords: 31.51 Algebraische Geometrie; Algebraische Geometrie / Kommutative Algebra / Auflösung von Singularitäten / Positive Charakteristik; Algebraic geometry / Commutative algebra / Resolution of singularities / Positive characteristic

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APA (6^{th} Edition):

Perlega, S. (2017). A new proof for the embedded resolution of surface singularities in arbitrary characteristic. (Thesis). University of Vienna. Retrieved from http://othes.univie.ac.at/49160/

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Perlega, Stefan. “A new proof for the embedded resolution of surface singularities in arbitrary characteristic.” 2017. Thesis, University of Vienna. Accessed July 03, 2020. http://othes.univie.ac.at/49160/.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Perlega, Stefan. “A new proof for the embedded resolution of surface singularities in arbitrary characteristic.” 2017. Web. 03 Jul 2020.

Vancouver:

Perlega S. A new proof for the embedded resolution of surface singularities in arbitrary characteristic. [Internet] [Thesis]. University of Vienna; 2017. [cited 2020 Jul 03]. Available from: http://othes.univie.ac.at/49160/.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Perlega S. A new proof for the embedded resolution of surface singularities in arbitrary characteristic. [Thesis]. University of Vienna; 2017. Available from: http://othes.univie.ac.at/49160/

Not specified: Masters Thesis or Doctoral Dissertation

University of Illinois – Chicago

65. Freitag, James E. Model Theory and Differential Algebraic Geometry.

Degree: 2012, University of Illinois – Chicago

URL: http://hdl.handle.net/10027/9302

This thesis studies problems in differential algebraic geometry and model theory.
*Advisors/Committee Members: Marker, David (advisor), Takloo-Bighash, Ramin (committee member), Gillet, Henri (committee member), Moosa, Rahim (committee member), Baldwin, John (committee member), Rosendal, Christian (committee member).*

Subjects/Keywords: Model Theory; Differential Algebra; Algebraic Geometry; Commutative Algebra; Logic

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APA (6^{th} Edition):

Freitag, J. E. (2012). Model Theory and Differential Algebraic Geometry. (Thesis). University of Illinois – Chicago. Retrieved from http://hdl.handle.net/10027/9302

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Freitag, James E. “Model Theory and Differential Algebraic Geometry.” 2012. Thesis, University of Illinois – Chicago. Accessed July 03, 2020. http://hdl.handle.net/10027/9302.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Freitag, James E. “Model Theory and Differential Algebraic Geometry.” 2012. Web. 03 Jul 2020.

Vancouver:

Freitag JE. Model Theory and Differential Algebraic Geometry. [Internet] [Thesis]. University of Illinois – Chicago; 2012. [cited 2020 Jul 03]. Available from: http://hdl.handle.net/10027/9302.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Freitag JE. Model Theory and Differential Algebraic Geometry. [Thesis]. University of Illinois – Chicago; 2012. Available from: http://hdl.handle.net/10027/9302

Not specified: Masters Thesis or Doctoral Dissertation

66. Rand, Ashley Nicole. Multiplicative Sets of Atoms.

Degree: 2013, University of Tennessee – Knoxville

URL: https://trace.tennessee.edu/utk_graddiss/1772

► It is possible for an element to have both an atom factorization and a factorization that will always contain a reducible element. This leads us…
(more)

Subjects/Keywords: Factorization; Commutative Algebra; Integral Domains; Algebra

…graded
domains that we will use several times.
Definition 1.0.7. Let M be *commutative* monoid… …integer n, then
a = b.
Note that M is a *commutative*, cancellative, torsion-free monoid if and… …and M is a
*commutative*, cancellative, torsion-free monoid ([11, Theorem 8.1]… …Γ is a torsionless grading monoid (i.e., Γ is *commutative*, cancellative,
and torsion…

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

APA (6^{th} Edition):

Rand, A. N. (2013). Multiplicative Sets of Atoms. (Doctoral Dissertation). University of Tennessee – Knoxville. Retrieved from https://trace.tennessee.edu/utk_graddiss/1772

Chicago Manual of Style (16^{th} Edition):

Rand, Ashley Nicole. “Multiplicative Sets of Atoms.” 2013. Doctoral Dissertation, University of Tennessee – Knoxville. Accessed July 03, 2020. https://trace.tennessee.edu/utk_graddiss/1772.

MLA Handbook (7^{th} Edition):

Rand, Ashley Nicole. “Multiplicative Sets of Atoms.” 2013. Web. 03 Jul 2020.

Vancouver:

Rand AN. Multiplicative Sets of Atoms. [Internet] [Doctoral dissertation]. University of Tennessee – Knoxville; 2013. [cited 2020 Jul 03]. Available from: https://trace.tennessee.edu/utk_graddiss/1772.

Council of Science Editors:

Rand AN. Multiplicative Sets of Atoms. [Doctoral Dissertation]. University of Tennessee – Knoxville; 2013. Available from: https://trace.tennessee.edu/utk_graddiss/1772

67.
NC DOCKS at The University of North Carolina at Greensboro; Staton, James Brooks.
Injective modules over *commutative* noetherian rings.

Degree: 1974, NC Docks

URL: http://libres.uncg.edu/ir/uncg/f/staton_james_1974.pdf

► This thesis examines the structure of injective modules over *commutative* noetherian rings. The author shows that any injective module over a *commutative* noetherian ring can…
(more)

Subjects/Keywords: Injective modules (Algebra); Noetherian rings; Commutative rings; Modules (Algebra); Rings (Algebra)

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APA (6^{th} Edition):

NC DOCKS at The University of North Carolina at Greensboro; Staton, J. B. (1974). Injective modules over commutative noetherian rings. (Thesis). NC Docks. Retrieved from http://libres.uncg.edu/ir/uncg/f/staton_james_1974.pdf

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

NC DOCKS at The University of North Carolina at Greensboro; Staton, James Brooks. “Injective modules over commutative noetherian rings.” 1974. Thesis, NC Docks. Accessed July 03, 2020. http://libres.uncg.edu/ir/uncg/f/staton_james_1974.pdf.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

NC DOCKS at The University of North Carolina at Greensboro; Staton, James Brooks. “Injective modules over commutative noetherian rings.” 1974. Web. 03 Jul 2020.

Vancouver:

NC DOCKS at The University of North Carolina at Greensboro; Staton JB. Injective modules over commutative noetherian rings. [Internet] [Thesis]. NC Docks; 1974. [cited 2020 Jul 03]. Available from: http://libres.uncg.edu/ir/uncg/f/staton_james_1974.pdf.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

NC DOCKS at The University of North Carolina at Greensboro; Staton JB. Injective modules over commutative noetherian rings. [Thesis]. NC Docks; 1974. Available from: http://libres.uncg.edu/ir/uncg/f/staton_james_1974.pdf

Not specified: Masters Thesis or Doctoral Dissertation

68. Kadir, Emir. 2-çaprazlanmış modül morfizmlerinin homotopisi .

Degree: ESOGÜ, Fen Edebiyat Fakültesi, Matematik ve Bilgisayar Bilimleri, 2015, Eskisehir Osmangazi University

URL: http://hdl.handle.net/11684/1199

► Bu tezde öncelikle 2-çaprazlanmış modül morfizmlerinin (noktasal) homotopileri üzerinde durularak homotopi kavramı tanımlanacaktır. Ardından temeli model kategori yapısına dayanan sebepler dolayısıyla belirli kısıtlamalar kullanılarak bu…
(more)

Subjects/Keywords: Simplisel Değişmeli Cebir; 2-Çaprazlanmış Modül; Kuadratik Derivasyon; Homotopi; Gruboid; Simplicial Commutative Algebra; 2-Crossed Module of Commutative Algebras; Quadratic Derivation; Homotopy; Groupoid

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APA (6^{th} Edition):

Kadir, E. (2015). 2-çaprazlanmış modül morfizmlerinin homotopisi . (Thesis). Eskisehir Osmangazi University. Retrieved from http://hdl.handle.net/11684/1199

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Kadir, Emir. “2-çaprazlanmış modül morfizmlerinin homotopisi .” 2015. Thesis, Eskisehir Osmangazi University. Accessed July 03, 2020. http://hdl.handle.net/11684/1199.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Kadir, Emir. “2-çaprazlanmış modül morfizmlerinin homotopisi .” 2015. Web. 03 Jul 2020.

Vancouver:

Kadir E. 2-çaprazlanmış modül morfizmlerinin homotopisi . [Internet] [Thesis]. Eskisehir Osmangazi University; 2015. [cited 2020 Jul 03]. Available from: http://hdl.handle.net/11684/1199.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Kadir E. 2-çaprazlanmış modül morfizmlerinin homotopisi . [Thesis]. Eskisehir Osmangazi University; 2015. Available from: http://hdl.handle.net/11684/1199

Not specified: Masters Thesis or Doctoral Dissertation

69. Badt, Sig H. Valuations and Valuation Rings.

Degree: 1975, North Texas State University

URL: https://digital.library.unt.edu/ark:/67531/metadc663650/

► This paper is an investigation of several basic properties of ordered Abelian groups, valuations, the relationship between valuation rings, valuations, and their value groups and…
(more)

Subjects/Keywords: valuation theory; Valuation theory.; Commutative rings.; Commutative Algebra; Abelian groups

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APA (6^{th} Edition):

Badt, S. H. (1975). Valuations and Valuation Rings. (Thesis). North Texas State University. Retrieved from https://digital.library.unt.edu/ark:/67531/metadc663650/

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Badt, Sig H. “Valuations and Valuation Rings.” 1975. Thesis, North Texas State University. Accessed July 03, 2020. https://digital.library.unt.edu/ark:/67531/metadc663650/.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Badt, Sig H. “Valuations and Valuation Rings.” 1975. Web. 03 Jul 2020.

Vancouver:

Badt SH. Valuations and Valuation Rings. [Internet] [Thesis]. North Texas State University; 1975. [cited 2020 Jul 03]. Available from: https://digital.library.unt.edu/ark:/67531/metadc663650/.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Badt SH. Valuations and Valuation Rings. [Thesis]. North Texas State University; 1975. Available from: https://digital.library.unt.edu/ark:/67531/metadc663650/

Not specified: Masters Thesis or Doctoral Dissertation

California State University – San Bernardino

70. Oyinsan, Sola. Primary decomposition of ideals in a ring.

Degree: MAin Mathematics, Mathematics, 2007, California State University – San Bernardino

URL: https://scholarworks.lib.csusb.edu/etd-project/3289

► The concept of unique factorization was first recognized in the 1840s, but even then, it was still fairly believed to be automatic. The error of…
(more)

Subjects/Keywords: Decomposition (Mathematics); Ideals (Algebra); Rings (Algebra); Factorization (Mathematics); Commutative algebra; Commutative algebra; Decomposition (Mathematics); Factorization (Mathematics); Ideals (Algebra); Rings (Algebra); Algebraic Geometry

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APA (6^{th} Edition):

Oyinsan, S. (2007). Primary decomposition of ideals in a ring. (Thesis). California State University – San Bernardino. Retrieved from https://scholarworks.lib.csusb.edu/etd-project/3289

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Oyinsan, Sola. “Primary decomposition of ideals in a ring.” 2007. Thesis, California State University – San Bernardino. Accessed July 03, 2020. https://scholarworks.lib.csusb.edu/etd-project/3289.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Oyinsan, Sola. “Primary decomposition of ideals in a ring.” 2007. Web. 03 Jul 2020.

Vancouver:

Oyinsan S. Primary decomposition of ideals in a ring. [Internet] [Thesis]. California State University – San Bernardino; 2007. [cited 2020 Jul 03]. Available from: https://scholarworks.lib.csusb.edu/etd-project/3289.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Oyinsan S. Primary decomposition of ideals in a ring. [Thesis]. California State University – San Bernardino; 2007. Available from: https://scholarworks.lib.csusb.edu/etd-project/3289

Not specified: Masters Thesis or Doctoral Dissertation

71. Hoefel, Andrew Harald. Hilbert Functions in Monomial Algebras.

Degree: PhD, Department of Mathematics & Statistics - Math Division, 2011, Dalhousie University

URL: http://hdl.handle.net/10222/13998

► In this thesis, we study Hilbert functions of monomial ideals in the polynomial ring and the Kruskal-Katona ring. In particular, we classify Gotzmann edge ideals…
(more)

Subjects/Keywords: combinatorial commutative algebra; Hilbert functions; monomial ideals

…and the dimensions of these vector spaces form an
important invariant in *commutative* *algebra*… …Macaulay representations. The book “Computational *Commutative* *Algebra* 2” by Kreuzer and
Robbiano… …it is generated by homogeneous polynomials.
A *commutative* k-*algebra* is any *commutative* ring… …x28;V )
Exterior *algebra* of a vector space V , 17
gens I
Minimal monomial generating… …7
S
Polynomial ring k[x1 , . . . , xn ], 6
T (V )
Tensor *algebra*…

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APA (6^{th} Edition):

Hoefel, A. H. (2011). Hilbert Functions in Monomial Algebras. (Doctoral Dissertation). Dalhousie University. Retrieved from http://hdl.handle.net/10222/13998

Chicago Manual of Style (16^{th} Edition):

Hoefel, Andrew Harald. “Hilbert Functions in Monomial Algebras.” 2011. Doctoral Dissertation, Dalhousie University. Accessed July 03, 2020. http://hdl.handle.net/10222/13998.

MLA Handbook (7^{th} Edition):

Hoefel, Andrew Harald. “Hilbert Functions in Monomial Algebras.” 2011. Web. 03 Jul 2020.

Vancouver:

Hoefel AH. Hilbert Functions in Monomial Algebras. [Internet] [Doctoral dissertation]. Dalhousie University; 2011. [cited 2020 Jul 03]. Available from: http://hdl.handle.net/10222/13998.

Council of Science Editors:

Hoefel AH. Hilbert Functions in Monomial Algebras. [Doctoral Dissertation]. Dalhousie University; 2011. Available from: http://hdl.handle.net/10222/13998

72. Kummini, Neelakandhan Manoj. Homological Invariants of Monomial and Binomial Ideals.

Degree: PH.D., Mathematics, 2008, University of Kansas

URL: http://hdl.handle.net/1808/4199

► In this dissertation, we study numerical invariants of minimal graded free resolutions of homogeneous ideals in a polynomial ring R. Chapters 2, 3 and 4…
(more)

Subjects/Keywords: Mathematics; Commutative algebra; Homological invariants; Free resolutions

…R1 as a k-*algebra*.
R
i∈N
We will refer to this as the standard grading of R.
Let M be an… …*algebra*: the maximum length of
a regular sequence in the set of monomial minimal generators of…

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APA (6^{th} Edition):

Kummini, N. M. (2008). Homological Invariants of Monomial and Binomial Ideals. (Doctoral Dissertation). University of Kansas. Retrieved from http://hdl.handle.net/1808/4199

Chicago Manual of Style (16^{th} Edition):

Kummini, Neelakandhan Manoj. “Homological Invariants of Monomial and Binomial Ideals.” 2008. Doctoral Dissertation, University of Kansas. Accessed July 03, 2020. http://hdl.handle.net/1808/4199.

MLA Handbook (7^{th} Edition):

Kummini, Neelakandhan Manoj. “Homological Invariants of Monomial and Binomial Ideals.” 2008. Web. 03 Jul 2020.

Vancouver:

Kummini NM. Homological Invariants of Monomial and Binomial Ideals. [Internet] [Doctoral dissertation]. University of Kansas; 2008. [cited 2020 Jul 03]. Available from: http://hdl.handle.net/1808/4199.

Council of Science Editors:

Kummini NM. Homological Invariants of Monomial and Binomial Ideals. [Doctoral Dissertation]. University of Kansas; 2008. Available from: http://hdl.handle.net/1808/4199

73.
Honma, Dai.
Study on algebraic and topological structures of *commutative* Banach algebras : 可換バナッハ環の代数構造と位相構造の研究.

Degree: Niigata University / 新潟大学

URL: http://hdl.handle.net/10191/6450

新潟大学大学院自然科学研究科

平成20年3月24日

新大院博（理）甲第290号

Subjects/Keywords: commutative Banach algebra; 可換バナッハ環

Record Details Similar Records

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APA (6^{th} Edition):

Honma, D. (n.d.). Study on algebraic and topological structures of commutative Banach algebras : 可換バナッハ環の代数構造と位相構造の研究. (Thesis). Niigata University / 新潟大学. Retrieved from http://hdl.handle.net/10191/6450

Note: this citation may be lacking information needed for this citation format:

No year of publication.

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Honma, Dai. “Study on algebraic and topological structures of commutative Banach algebras : 可換バナッハ環の代数構造と位相構造の研究.” Thesis, Niigata University / 新潟大学. Accessed July 03, 2020. http://hdl.handle.net/10191/6450.

Note: this citation may be lacking information needed for this citation format:

No year of publication.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Honma, Dai. “Study on algebraic and topological structures of commutative Banach algebras : 可換バナッハ環の代数構造と位相構造の研究.” Web. 03 Jul 2020.

Note: this citation may be lacking information needed for this citation format:

No year of publication.

Vancouver:

Honma D. Study on algebraic and topological structures of commutative Banach algebras : 可換バナッハ環の代数構造と位相構造の研究. [Internet] [Thesis]. Niigata University / 新潟大学; [cited 2020 Jul 03]. Available from: http://hdl.handle.net/10191/6450.

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

No year of publication.

Council of Science Editors:

Honma D. Study on algebraic and topological structures of commutative Banach algebras : 可換バナッハ環の代数構造と位相構造の研究. [Thesis]. Niigata University / 新潟大学; Available from: http://hdl.handle.net/10191/6450

Note: this citation may be lacking information needed for this citation format:

Not specified: Masters Thesis or Doctoral Dissertation

No year of publication.

74.
Hasse, Erik Gregory.
Lowest terms in *commutative* rings.

Degree: PhD, Mathematics, 2018, University of Iowa

URL: https://ir.uiowa.edu/etd/6433

► Putting fractions in lowest terms is a common problem for basic *algebra* courses, but it is rarely discussed in abstract *algebra*. In a 1990…
(more)

Subjects/Keywords: Commutative Algebra; Lowest Terms; Ring Theory; Mathematics

…74
vi
1
CHAPTER 1
INTRODUCTION
1.1
Motivation
In basic *algebra* courses, reducing… …*algebra*. The usual definition of lowest terms is that the numerator and denominator of a… …field as well.
All rings are assumed to be *commutative* with identity unless otherwise noted.
A…

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APA (6^{th} Edition):

Hasse, E. G. (2018). Lowest terms in commutative rings. (Doctoral Dissertation). University of Iowa. Retrieved from https://ir.uiowa.edu/etd/6433

Chicago Manual of Style (16^{th} Edition):

Hasse, Erik Gregory. “Lowest terms in commutative rings.” 2018. Doctoral Dissertation, University of Iowa. Accessed July 03, 2020. https://ir.uiowa.edu/etd/6433.

MLA Handbook (7^{th} Edition):

Hasse, Erik Gregory. “Lowest terms in commutative rings.” 2018. Web. 03 Jul 2020.

Vancouver:

Hasse EG. Lowest terms in commutative rings. [Internet] [Doctoral dissertation]. University of Iowa; 2018. [cited 2020 Jul 03]. Available from: https://ir.uiowa.edu/etd/6433.

Council of Science Editors:

Hasse EG. Lowest terms in commutative rings. [Doctoral Dissertation]. University of Iowa; 2018. Available from: https://ir.uiowa.edu/etd/6433

75. Szwast, John. An introduction to modern cryptology within an algebraic framework.

Degree: MS, Mathematics, 2012, Eastern Washington University

URL: https://dc.ewu.edu/theses/13

Subjects/Keywords: Cryptography; Commutative algebra; Number theory; Physical Sciences and Mathematics

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APA (6^{th} Edition):

Szwast, J. (2012). An introduction to modern cryptology within an algebraic framework. (Thesis). Eastern Washington University. Retrieved from https://dc.ewu.edu/theses/13

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Szwast, John. “An introduction to modern cryptology within an algebraic framework.” 2012. Thesis, Eastern Washington University. Accessed July 03, 2020. https://dc.ewu.edu/theses/13.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Szwast, John. “An introduction to modern cryptology within an algebraic framework.” 2012. Web. 03 Jul 2020.

Vancouver:

Szwast J. An introduction to modern cryptology within an algebraic framework. [Internet] [Thesis]. Eastern Washington University; 2012. [cited 2020 Jul 03]. Available from: https://dc.ewu.edu/theses/13.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Szwast J. An introduction to modern cryptology within an algebraic framework. [Thesis]. Eastern Washington University; 2012. Available from: https://dc.ewu.edu/theses/13

Not specified: Masters Thesis or Doctoral Dissertation

76. Fecke, Ralph Michael. Euclidean Rings.

Degree: 1974, North Texas State University

URL: https://digital.library.unt.edu/ark:/67531/metadc663654/

► The cardinality of the set of units, and of the set of equivalence classes of primes in non-trivial Euclidean domains is discussed with reference to…
(more)

Subjects/Keywords: Euclidean rings; Euclidean domains; Commutative rings.; Rings (Algebra)

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APA (6^{th} Edition):

Fecke, R. M. (1974). Euclidean Rings. (Thesis). North Texas State University. Retrieved from https://digital.library.unt.edu/ark:/67531/metadc663654/

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Fecke, Ralph Michael. “Euclidean Rings.” 1974. Thesis, North Texas State University. Accessed July 03, 2020. https://digital.library.unt.edu/ark:/67531/metadc663654/.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Fecke, Ralph Michael. “Euclidean Rings.” 1974. Web. 03 Jul 2020.

Vancouver:

Fecke RM. Euclidean Rings. [Internet] [Thesis]. North Texas State University; 1974. [cited 2020 Jul 03]. Available from: https://digital.library.unt.edu/ark:/67531/metadc663654/.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Fecke RM. Euclidean Rings. [Thesis]. North Texas State University; 1974. Available from: https://digital.library.unt.edu/ark:/67531/metadc663654/

Not specified: Masters Thesis or Doctoral Dissertation

77. Malec, Sara. Intersection Algebras and Pointed Rational Cones.

Degree: PhD, Mathematics and Statistics, 2013, Georgia State University

URL: https://scholarworks.gsu.edu/math_diss/14

► In this dissertation we study the algebraic properties of the intersection *algebra* of two ideals I and J in a Noetherian ring R. A…
(more)

Subjects/Keywords: Commutative algebra; Semigroup rings; Fan algebras

…Dissertation . . . . . . . . . . . . . . . . . . . . . . . .
11
CHAPTER 2 THE INTERSECTION *ALGEBRA*… …*Algebra* of Two Principal Ideals in a UFD . . .
14
2.1.1
Relationship to Work of Samuel and… …of two ideals in a *commutative* Noethe-
rian ring. This is achieved by looking at the… …structure called the intersection *algebra*, a recent
concept, which is associated to the two ideals… …The purpose of this dissertation is to study the finite generation of this *algebra*, and to…

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APA (6^{th} Edition):

Malec, S. (2013). Intersection Algebras and Pointed Rational Cones. (Doctoral Dissertation). Georgia State University. Retrieved from https://scholarworks.gsu.edu/math_diss/14

Chicago Manual of Style (16^{th} Edition):

Malec, Sara. “Intersection Algebras and Pointed Rational Cones.” 2013. Doctoral Dissertation, Georgia State University. Accessed July 03, 2020. https://scholarworks.gsu.edu/math_diss/14.

MLA Handbook (7^{th} Edition):

Malec, Sara. “Intersection Algebras and Pointed Rational Cones.” 2013. Web. 03 Jul 2020.

Vancouver:

Malec S. Intersection Algebras and Pointed Rational Cones. [Internet] [Doctoral dissertation]. Georgia State University; 2013. [cited 2020 Jul 03]. Available from: https://scholarworks.gsu.edu/math_diss/14.

Council of Science Editors:

Malec S. Intersection Algebras and Pointed Rational Cones. [Doctoral Dissertation]. Georgia State University; 2013. Available from: https://scholarworks.gsu.edu/math_diss/14

Georgia State University

78. Zagrodny, Christopher Michael. Algebraic Concepts in the Study of Graphs and Simplicial Complexes.

Degree: MS, Mathematics and Statistics, 2006, Georgia State University

URL: https://scholarworks.gsu.edu/math_theses/7

► This paper presents a survey of concepts in *commutative* *algebra* that have applications to topology and graph theory. The primary algebraic focus will be on…
(more)

Subjects/Keywords: Commutative Algebra; Graph Theory; Stanley-Reisner Rings; Mathematics

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APA (6^{th} Edition):

Zagrodny, C. M. (2006). Algebraic Concepts in the Study of Graphs and Simplicial Complexes. (Thesis). Georgia State University. Retrieved from https://scholarworks.gsu.edu/math_theses/7

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Zagrodny, Christopher Michael. “Algebraic Concepts in the Study of Graphs and Simplicial Complexes.” 2006. Thesis, Georgia State University. Accessed July 03, 2020. https://scholarworks.gsu.edu/math_theses/7.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Zagrodny, Christopher Michael. “Algebraic Concepts in the Study of Graphs and Simplicial Complexes.” 2006. Web. 03 Jul 2020.

Vancouver:

Zagrodny CM. Algebraic Concepts in the Study of Graphs and Simplicial Complexes. [Internet] [Thesis]. Georgia State University; 2006. [cited 2020 Jul 03]. Available from: https://scholarworks.gsu.edu/math_theses/7.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Zagrodny CM. Algebraic Concepts in the Study of Graphs and Simplicial Complexes. [Thesis]. Georgia State University; 2006. Available from: https://scholarworks.gsu.edu/math_theses/7

Not specified: Masters Thesis or Doctoral Dissertation

79. Papiu, Alexandru Ilarian. Connectivity Bounds and S-Partitions for Triangulated Manifolds.

Degree: PhD, Mathematics, 2017, Washington University in St. Louis

URL: https://openscholarship.wustl.edu/art_sci_etds/1137

► Two of the fundamental results in the theory of convex polytopes are Balinski’s Theorem on connectivity and Bruggesser and Mani’s theorem on shellability. Here we…
(more)

Subjects/Keywords: Combinatorics, Commutative Algebra, Simplicial Complexes, Topolgy; Mathematics

…from algebraic topology similar to ours but also *commutative* *algebra*. The results there are… …quotient k[∆]. Let R be an N k-*algebra*. We define the Hilbert series of
P
R by Hilb… …odd-dimensional manifolds was
first proved by Novik in [18] using *commutative*… …*algebra* techniques.
Lemma 2.24. [18] The f-UBC holds for odd-dimensional manifolds…

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APA (6^{th} Edition):

Papiu, A. I. (2017). Connectivity Bounds and S-Partitions for Triangulated Manifolds. (Doctoral Dissertation). Washington University in St. Louis. Retrieved from https://openscholarship.wustl.edu/art_sci_etds/1137

Chicago Manual of Style (16^{th} Edition):

Papiu, Alexandru Ilarian. “Connectivity Bounds and S-Partitions for Triangulated Manifolds.” 2017. Doctoral Dissertation, Washington University in St. Louis. Accessed July 03, 2020. https://openscholarship.wustl.edu/art_sci_etds/1137.

MLA Handbook (7^{th} Edition):

Papiu, Alexandru Ilarian. “Connectivity Bounds and S-Partitions for Triangulated Manifolds.” 2017. Web. 03 Jul 2020.

Vancouver:

Papiu AI. Connectivity Bounds and S-Partitions for Triangulated Manifolds. [Internet] [Doctoral dissertation]. Washington University in St. Louis; 2017. [cited 2020 Jul 03]. Available from: https://openscholarship.wustl.edu/art_sci_etds/1137.

Council of Science Editors:

Papiu AI. Connectivity Bounds and S-Partitions for Triangulated Manifolds. [Doctoral Dissertation]. Washington University in St. Louis; 2017. Available from: https://openscholarship.wustl.edu/art_sci_etds/1137

Clemson University

80. Park, Jang-woo. Discrete Dynamics over Finite Fields.

Degree: PhD, Mathematics, 2009, Clemson University

URL: https://tigerprints.clemson.edu/all_dissertations/422

► A dynamical system consists of a set V and a map f : V → V . The primary goal is to characterize points in…
(more)

Subjects/Keywords: commutative algebra; discrete dynamics; finite fields; Applied Mathematics

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APA (6^{th} Edition):

Park, J. (2009). Discrete Dynamics over Finite Fields. (Doctoral Dissertation). Clemson University. Retrieved from https://tigerprints.clemson.edu/all_dissertations/422

Chicago Manual of Style (16^{th} Edition):

Park, Jang-woo. “Discrete Dynamics over Finite Fields.” 2009. Doctoral Dissertation, Clemson University. Accessed July 03, 2020. https://tigerprints.clemson.edu/all_dissertations/422.

MLA Handbook (7^{th} Edition):

Park, Jang-woo. “Discrete Dynamics over Finite Fields.” 2009. Web. 03 Jul 2020.

Vancouver:

Park J. Discrete Dynamics over Finite Fields. [Internet] [Doctoral dissertation]. Clemson University; 2009. [cited 2020 Jul 03]. Available from: https://tigerprints.clemson.edu/all_dissertations/422.

Council of Science Editors:

Park J. Discrete Dynamics over Finite Fields. [Doctoral Dissertation]. Clemson University; 2009. Available from: https://tigerprints.clemson.edu/all_dissertations/422

University of Tennessee – Knoxville

81. McClurkin, Grace Elizabeth. Generalizations and Variations of the Zero-Divisor Graph.

Degree: 2017, University of Tennessee – Knoxville

URL: https://trace.tennessee.edu/utk_graddiss/4701

► We explore generalizations and variations of the zero-divisor graph on *commutative* rings with identity. A zero-divisor graph is a graph whose vertex set is the…
(more)

Subjects/Keywords: Commutative Ring Theory; Zero-Divisor Graphs; Congruence-Based Zero-Divisor Graphs; Annihilator Graphs; Extended Zero-Divisor Graphs; Compressed Graphs; Algebra

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APA (6^{th} Edition):

McClurkin, G. E. (2017). Generalizations and Variations of the Zero-Divisor Graph. (Doctoral Dissertation). University of Tennessee – Knoxville. Retrieved from https://trace.tennessee.edu/utk_graddiss/4701

Chicago Manual of Style (16^{th} Edition):

McClurkin, Grace Elizabeth. “Generalizations and Variations of the Zero-Divisor Graph.” 2017. Doctoral Dissertation, University of Tennessee – Knoxville. Accessed July 03, 2020. https://trace.tennessee.edu/utk_graddiss/4701.

MLA Handbook (7^{th} Edition):

McClurkin, Grace Elizabeth. “Generalizations and Variations of the Zero-Divisor Graph.” 2017. Web. 03 Jul 2020.

Vancouver:

McClurkin GE. Generalizations and Variations of the Zero-Divisor Graph. [Internet] [Doctoral dissertation]. University of Tennessee – Knoxville; 2017. [cited 2020 Jul 03]. Available from: https://trace.tennessee.edu/utk_graddiss/4701.

Council of Science Editors:

McClurkin GE. Generalizations and Variations of the Zero-Divisor Graph. [Doctoral Dissertation]. University of Tennessee – Knoxville; 2017. Available from: https://trace.tennessee.edu/utk_graddiss/4701

University of KwaZulu-Natal

82. [No author]. Residually small varieties and commutator theory.

Degree: Mathematics, 2000, University of KwaZulu-Natal

URL: http://hdl.handle.net/10413/3566

► Chapter 0 In this introductory chapter, certain notational and terminological conventions are established and a summary given of background results that are needed in subsequent…
(more)

Subjects/Keywords: Varieties (Universal algebra); Congruence modular varieties.; Congruence lattices.; Algebraic varieties.; Commutative algebra.; Mathematics.

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APA (6^{th} Edition):

author], [. (2000). Residually small varieties and commutator theory. (Thesis). University of KwaZulu-Natal. Retrieved from http://hdl.handle.net/10413/3566

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

author], [No. “Residually small varieties and commutator theory. ” 2000. Thesis, University of KwaZulu-Natal. Accessed July 03, 2020. http://hdl.handle.net/10413/3566.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

author], [No. “Residually small varieties and commutator theory. ” 2000. Web. 03 Jul 2020.

Vancouver:

author] [. Residually small varieties and commutator theory. [Internet] [Thesis]. University of KwaZulu-Natal; 2000. [cited 2020 Jul 03]. Available from: http://hdl.handle.net/10413/3566.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

author] [. Residually small varieties and commutator theory. [Thesis]. University of KwaZulu-Natal; 2000. Available from: http://hdl.handle.net/10413/3566

Not specified: Masters Thesis or Doctoral Dissertation

University of Kentucky

83. Brown, Tricia Muldoon. Rees Products of Posets and Inequalities.

Degree: 2009, University of Kentucky

URL: https://uknowledge.uky.edu/gradschool_diss/722

► In this dissertation we will look at properties of two different posets from different perspectives. The first poset is the Rees product of the face…
(more)

Subjects/Keywords: algebraic combinatorics|commutative algebra|Möbius function|poset topology|representation theory; Algebra; Mathematics

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APA (6^{th} Edition):

Brown, T. M. (2009). Rees Products of Posets and Inequalities. (Doctoral Dissertation). University of Kentucky. Retrieved from https://uknowledge.uky.edu/gradschool_diss/722

Chicago Manual of Style (16^{th} Edition):

Brown, Tricia Muldoon. “Rees Products of Posets and Inequalities.” 2009. Doctoral Dissertation, University of Kentucky. Accessed July 03, 2020. https://uknowledge.uky.edu/gradschool_diss/722.

MLA Handbook (7^{th} Edition):

Brown, Tricia Muldoon. “Rees Products of Posets and Inequalities.” 2009. Web. 03 Jul 2020.

Vancouver:

Brown TM. Rees Products of Posets and Inequalities. [Internet] [Doctoral dissertation]. University of Kentucky; 2009. [cited 2020 Jul 03]. Available from: https://uknowledge.uky.edu/gradschool_diss/722.

Council of Science Editors:

Brown TM. Rees Products of Posets and Inequalities. [Doctoral Dissertation]. University of Kentucky; 2009. Available from: https://uknowledge.uky.edu/gradschool_diss/722

84. Race, Denise T. (Denise Tatsch). Containment Relations Between Classes of Regular Ideals in a Ring with Few Zero Divisors.

Degree: 1987, North Texas State University

URL: https://digital.library.unt.edu/ark:/67531/metadc331394/

► This dissertation focuses on the significance of containment relations between the above mentioned classes of ideals. The main problem considered in Chapter II is determining…
(more)

Subjects/Keywords: commutative rings; quasi-valuation rings; containment relations; Ideals (Algebra); Rings (Algebra)

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APA (6^{th} Edition):

Race, D. T. (. T. (1987). Containment Relations Between Classes of Regular Ideals in a Ring with Few Zero Divisors. (Thesis). North Texas State University. Retrieved from https://digital.library.unt.edu/ark:/67531/metadc331394/

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

Race, Denise T (Denise Tatsch). “Containment Relations Between Classes of Regular Ideals in a Ring with Few Zero Divisors.” 1987. Thesis, North Texas State University. Accessed July 03, 2020. https://digital.library.unt.edu/ark:/67531/metadc331394/.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

Race, Denise T (Denise Tatsch). “Containment Relations Between Classes of Regular Ideals in a Ring with Few Zero Divisors.” 1987. Web. 03 Jul 2020.

Vancouver:

Race DT(T. Containment Relations Between Classes of Regular Ideals in a Ring with Few Zero Divisors. [Internet] [Thesis]. North Texas State University; 1987. [cited 2020 Jul 03]. Available from: https://digital.library.unt.edu/ark:/67531/metadc331394/.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

Race DT(T. Containment Relations Between Classes of Regular Ideals in a Ring with Few Zero Divisors. [Thesis]. North Texas State University; 1987. Available from: https://digital.library.unt.edu/ark:/67531/metadc331394/

Not specified: Masters Thesis or Doctoral Dissertation

Florida Atlantic University

85. Ay, Basak. Unique decomposition of direct sums of ideals.

Degree: PhD, 2010, Florida Atlantic University

URL: http://purl.flvc.org/FAU/2683133

►

Summary: We say that a *commutative* ring R has the unique decomposition into ideals (UDI) property if, for any R-module which decomposes into a finite…
(more)

Subjects/Keywords: Algebraic number theory; Modules (Algebra); Noetherian rings; Commutative rings; Algebra, Abstract

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APA (6^{th} Edition):

Ay, B. (2010). Unique decomposition of direct sums of ideals. (Doctoral Dissertation). Florida Atlantic University. Retrieved from http://purl.flvc.org/FAU/2683133

Chicago Manual of Style (16^{th} Edition):

Ay, Basak. “Unique decomposition of direct sums of ideals.” 2010. Doctoral Dissertation, Florida Atlantic University. Accessed July 03, 2020. http://purl.flvc.org/FAU/2683133.

MLA Handbook (7^{th} Edition):

Ay, Basak. “Unique decomposition of direct sums of ideals.” 2010. Web. 03 Jul 2020.

Vancouver:

Ay B. Unique decomposition of direct sums of ideals. [Internet] [Doctoral dissertation]. Florida Atlantic University; 2010. [cited 2020 Jul 03]. Available from: http://purl.flvc.org/FAU/2683133.

Council of Science Editors:

Ay B. Unique decomposition of direct sums of ideals. [Doctoral Dissertation]. Florida Atlantic University; 2010. Available from: http://purl.flvc.org/FAU/2683133

Florida Atlantic University

86. Chiorescu, Marcela. Minimal zero-dimensional extensions.

Degree: PhD, 2009, Florida Atlantic University

URL: http://purl.flvc.org/FAU/210447

►

Summary: The structure of minimal zero-dimensional extension of rings with Noetherian spectrum in which zero is a primary ideal and with at most one prime… (more)

Subjects/Keywords: Algebra, Abstract; Noetherian rings; Commutative rings; Modules (Algebra); Algebraic number theory

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APA (6^{th} Edition):

Chiorescu, M. (2009). Minimal zero-dimensional extensions. (Doctoral Dissertation). Florida Atlantic University. Retrieved from http://purl.flvc.org/FAU/210447

Chicago Manual of Style (16^{th} Edition):

Chiorescu, Marcela. “Minimal zero-dimensional extensions.” 2009. Doctoral Dissertation, Florida Atlantic University. Accessed July 03, 2020. http://purl.flvc.org/FAU/210447.

MLA Handbook (7^{th} Edition):

Chiorescu, Marcela. “Minimal zero-dimensional extensions.” 2009. Web. 03 Jul 2020.

Vancouver:

Chiorescu M. Minimal zero-dimensional extensions. [Internet] [Doctoral dissertation]. Florida Atlantic University; 2009. [cited 2020 Jul 03]. Available from: http://purl.flvc.org/FAU/210447.

Council of Science Editors:

Chiorescu M. Minimal zero-dimensional extensions. [Doctoral Dissertation]. Florida Atlantic University; 2009. Available from: http://purl.flvc.org/FAU/210447

University of Toronto

87. Hovinen, Bradford. Matrix Factorizations of the Classical Discriminant.

Degree: 2009, University of Toronto

URL: http://hdl.handle.net/1807/17466

►

The classical discriminant D_{n} of degree n polynomials detects whether a given univariate polynomial f has a repeated root. It is itself a polynomial in…
(more)

Subjects/Keywords: commutative algebra; algebraic geometry; discriminants; singularities; matrix factorizations; homological algebra; 0405

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APA (6^{th} Edition):

Hovinen, B. (2009). Matrix Factorizations of the Classical Discriminant. (Doctoral Dissertation). University of Toronto. Retrieved from http://hdl.handle.net/1807/17466

Chicago Manual of Style (16^{th} Edition):

Hovinen, Bradford. “Matrix Factorizations of the Classical Discriminant.” 2009. Doctoral Dissertation, University of Toronto. Accessed July 03, 2020. http://hdl.handle.net/1807/17466.

MLA Handbook (7^{th} Edition):

Hovinen, Bradford. “Matrix Factorizations of the Classical Discriminant.” 2009. Web. 03 Jul 2020.

Vancouver:

Hovinen B. Matrix Factorizations of the Classical Discriminant. [Internet] [Doctoral dissertation]. University of Toronto; 2009. [cited 2020 Jul 03]. Available from: http://hdl.handle.net/1807/17466.

Council of Science Editors:

Hovinen B. Matrix Factorizations of the Classical Discriminant. [Doctoral Dissertation]. University of Toronto; 2009. Available from: http://hdl.handle.net/1807/17466

Texas A&M University

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

Degree: 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)

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. (Thesis). Texas A&M University. Retrieved from http://hdl.handle.net/1969.1/3915

Not specified: Masters Thesis or Doctoral Dissertation

Chicago Manual of Style (16^{th} Edition):

McDonald, Terry Lynn. “Piecewise polynomial functions on a planar region: boundary constraints and polyhedral subdivisions.” 2006. Thesis, Texas A&M University. Accessed July 03, 2020. http://hdl.handle.net/1969.1/3915.

Not specified: Masters Thesis or Doctoral Dissertation

MLA Handbook (7^{th} Edition):

McDonald, Terry Lynn. “Piecewise polynomial functions on a planar region: boundary constraints and polyhedral subdivisions.” 2006. Web. 03 Jul 2020.

Vancouver:

McDonald TL. Piecewise polynomial functions on a planar region: boundary constraints and polyhedral subdivisions. [Internet] [Thesis]. Texas A&M University; 2006. [cited 2020 Jul 03]. Available from: http://hdl.handle.net/1969.1/3915.

Not specified: Masters Thesis or Doctoral Dissertation

Council of Science Editors:

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

Not specified: Masters Thesis or Doctoral Dissertation

89.
Morra, Todd Anthony.
An Introduction to Homological *Algebra* and its Applications.

Degree: MS, Mathematical Sciences, 2018, Clemson University

URL: https://tigerprints.clemson.edu/all_theses/3001

► Ext modules have a number of applications in homological *algebra* and *commutative* abstract *algebra* as a whole. In this document we prove Ext modules are…
(more)

Subjects/Keywords: clique; combinatorics; commutative algebra; homological algebra; simple graph; type

…The special case when M = R gives a *commutative* ring U −1 R with the following operations… …Mapping Property). Let R and S be *commutative* rings with identity.
Given any ring… …U −1 R −→ S such that φ̃ ◦ ψ = φ. This is summed up by a *commutative* diagram.
ψ
U ⊆R
S… …motivate our study of Ext modules by discussing three applications in
abstract *algebra*. We also… …homological *algebra* and the application from the title of this section. We will
prove this in…

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APA (6^{th} Edition):

Morra, T. A. (2018). An Introduction to Homological Algebra and its Applications. (Masters Thesis). Clemson University. Retrieved from https://tigerprints.clemson.edu/all_theses/3001

Chicago Manual of Style (16^{th} Edition):

Morra, Todd Anthony. “An Introduction to Homological Algebra and its Applications.” 2018. Masters Thesis, Clemson University. Accessed July 03, 2020. https://tigerprints.clemson.edu/all_theses/3001.

MLA Handbook (7^{th} Edition):

Morra, Todd Anthony. “An Introduction to Homological Algebra and its Applications.” 2018. Web. 03 Jul 2020.

Vancouver:

Morra TA. An Introduction to Homological Algebra and its Applications. [Internet] [Masters thesis]. Clemson University; 2018. [cited 2020 Jul 03]. Available from: https://tigerprints.clemson.edu/all_theses/3001.

Council of Science Editors:

Morra TA. An Introduction to Homological Algebra and its Applications. [Masters Thesis]. Clemson University; 2018. Available from: https://tigerprints.clemson.edu/all_theses/3001

90. Huntemann, Svenja. Simplicial Complexes of Placement Games.

Degree: MS, Department of Mathematics & Statistics - Math Division, 2013, Dalhousie University

URL: http://hdl.handle.net/10222/35472

► Placement games are a subclass of combinatorial games which are played on graphs. In this thesis, we demonstrate that placement games could be considered as…
(more)

Subjects/Keywords: Combinatorial Game Theory; Commutative Algebra; Combinatorial commutative algebra; Combinatorics; Simplicial Complex; Placement Game

…combinatorial game theory and combinatorial *commutative* *algebra* to apply results from one area to the… …*Algebra*
Combinatorial *commutative* *algebra* is an area in which combinatorial concepts are
used… …to study objects in *commutative* *algebra* and vice versa. One of the main roots
of… …turn out to be equivalent to simpler t-player games.
7
1.3
Combinatorial *Commutative*… …combinatorial *algebra* lies in the relationship between square-free monomial ideals
and simplicial…

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APA (6^{th} Edition):

Huntemann, S. (2013). Simplicial Complexes of Placement Games. (Masters Thesis). Dalhousie University. Retrieved from http://hdl.handle.net/10222/35472

Chicago Manual of Style (16^{th} Edition):

Huntemann, Svenja. “Simplicial Complexes of Placement Games.” 2013. Masters Thesis, Dalhousie University. Accessed July 03, 2020. http://hdl.handle.net/10222/35472.

MLA Handbook (7^{th} Edition):

Huntemann, Svenja. “Simplicial Complexes of Placement Games.” 2013. Web. 03 Jul 2020.

Vancouver:

Huntemann S. Simplicial Complexes of Placement Games. [Internet] [Masters thesis]. Dalhousie University; 2013. [cited 2020 Jul 03]. Available from: http://hdl.handle.net/10222/35472.

Council of Science Editors:

Huntemann S. Simplicial Complexes of Placement Games. [Masters Thesis]. Dalhousie University; 2013. Available from: http://hdl.handle.net/10222/35472