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University of Kansas

1. Hariharan, Ananthnarayan. Approximating Artinian Rings by Gorenstein Rings and 3-Standardness of the Maximal Ideal.

Degree: PhD, Mathematics, 2009, University of Kansas

URL: http://hdl.handle.net/1808/5650

► We study two different problems in this dissertation. In the first part, we wish to understand how one can approximate an Artinian local ring by…
(more)

Subjects/Keywords: Mathematics; Gorenstein colength; N-standardness

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

APA (6^{th} Edition):

Hariharan, A. (2009). Approximating Artinian Rings by Gorenstein Rings and 3-Standardness of the Maximal Ideal. (Doctoral Dissertation). University of Kansas. Retrieved from http://hdl.handle.net/1808/5650

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

Hariharan, Ananthnarayan. “Approximating Artinian Rings by Gorenstein Rings and 3-Standardness of the Maximal Ideal.” 2009. Doctoral Dissertation, University of Kansas. Accessed February 22, 2020. http://hdl.handle.net/1808/5650.

MLA Handbook (7^{th} Edition):

Hariharan, Ananthnarayan. “Approximating Artinian Rings by Gorenstein Rings and 3-Standardness of the Maximal Ideal.” 2009. Web. 22 Feb 2020.

Vancouver:

Hariharan A. Approximating Artinian Rings by Gorenstein Rings and 3-Standardness of the Maximal Ideal. [Internet] [Doctoral dissertation]. University of Kansas; 2009. [cited 2020 Feb 22]. Available from: http://hdl.handle.net/1808/5650.

Council of Science Editors:

Hariharan A. Approximating Artinian Rings by Gorenstein Rings and 3-Standardness of the Maximal Ideal. [Doctoral Dissertation]. University of Kansas; 2009. Available from: http://hdl.handle.net/1808/5650

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

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 February 22, 2020. 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. 22 Feb 2020.

Vancouver:

Sanders WT. Categorical and homological aspects of module theory over commutative rings. [Internet] [Doctoral dissertation]. University of Kansas; 2015. [cited 2020 Feb 22]. 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 Kansas

3. Se, Tony. Depth and Associated Primes of Modules over a Ring.

Degree: PhD, Mathematics, 2016, University of Kansas

URL: http://hdl.handle.net/1808/21895

► This thesis consists of three main topics. In the first topic, we let R be a commutative Noetherian ring, I,J ideals of R, M a…
(more)

Subjects/Keywords: Mathematics; Cohen-Macaulay; coherent functors; divisor class group; F -regularity; Frobenius endomorphism; semigroup rings

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

APA (6^{th} Edition):

Se, T. (2016). Depth and Associated Primes of Modules over a Ring. (Doctoral Dissertation). University of Kansas. Retrieved from http://hdl.handle.net/1808/21895

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

Se, Tony. “Depth and Associated Primes of Modules over a Ring.” 2016. Doctoral Dissertation, University of Kansas. Accessed February 22, 2020. http://hdl.handle.net/1808/21895.

MLA Handbook (7^{th} Edition):

Se, Tony. “Depth and Associated Primes of Modules over a Ring.” 2016. Web. 22 Feb 2020.

Vancouver:

Se T. Depth and Associated Primes of Modules over a Ring. [Internet] [Doctoral dissertation]. University of Kansas; 2016. [cited 2020 Feb 22]. Available from: http://hdl.handle.net/1808/21895.

Council of Science Editors:

Se T. Depth and Associated Primes of Modules over a Ring. [Doctoral Dissertation]. University of Kansas; 2016. Available from: http://hdl.handle.net/1808/21895

University of Kansas

4. Serio, Jared Grant. Multiplicities in Commutative Algebra.

Degree: PhD, Mathematics, 2016, University of Kansas

URL: http://hdl.handle.net/1808/22480

► This dissertation explores the notion of multiplicity and its generalizations within the theory of commutative algebra. Chapter 2 is dedicated to calculating the limits which…
(more)

Subjects/Keywords: Mathematics; Commutative Algebra; Filtration; Multiplicity

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

APA (6^{th} Edition):

Serio, J. G. (2016). Multiplicities in Commutative Algebra. (Doctoral Dissertation). University of Kansas. Retrieved from http://hdl.handle.net/1808/22480

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

Serio, Jared Grant. “Multiplicities in Commutative Algebra.” 2016. Doctoral Dissertation, University of Kansas. Accessed February 22, 2020. http://hdl.handle.net/1808/22480.

MLA Handbook (7^{th} Edition):

Serio, Jared Grant. “Multiplicities in Commutative Algebra.” 2016. Web. 22 Feb 2020.

Vancouver:

Serio JG. Multiplicities in Commutative Algebra. [Internet] [Doctoral dissertation]. University of Kansas; 2016. [cited 2020 Feb 22]. Available from: http://hdl.handle.net/1808/22480.

Council of Science Editors:

Serio JG. Multiplicities in Commutative Algebra. [Doctoral Dissertation]. University of Kansas; 2016. Available from: http://hdl.handle.net/1808/22480

University of Kansas

5. Eichelberger, Luke Alan. The Lattice of Compactifications of a Locally Compact Space.

Degree: MA, Mathematics, 2016, University of Kansas

URL: http://hdl.handle.net/1808/21800

► This is an expanded version of [5] by Magill. The results of [5] are proven with greater detail and any result stated in [5] but…
(more)

Subjects/Keywords: Mathematics; Beta-Families; Compactifications; Hausdorff Compactifications; Locally Compact; Topology

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

APA (6^{th} Edition):

Eichelberger, L. A. (2016). The Lattice of Compactifications of a Locally Compact Space. (Masters Thesis). University of Kansas. Retrieved from http://hdl.handle.net/1808/21800

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

Eichelberger, Luke Alan. “The Lattice of Compactifications of a Locally Compact Space.” 2016. Masters Thesis, University of Kansas. Accessed February 22, 2020. http://hdl.handle.net/1808/21800.

MLA Handbook (7^{th} Edition):

Eichelberger, Luke Alan. “The Lattice of Compactifications of a Locally Compact Space.” 2016. Web. 22 Feb 2020.

Vancouver:

Eichelberger LA. The Lattice of Compactifications of a Locally Compact Space. [Internet] [Masters thesis]. University of Kansas; 2016. [cited 2020 Feb 22]. Available from: http://hdl.handle.net/1808/21800.

Council of Science Editors:

Eichelberger LA. The Lattice of Compactifications of a Locally Compact Space. [Masters Thesis]. University of Kansas; 2016. Available from: http://hdl.handle.net/1808/21800

6. 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

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

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 February 22, 2020. http://hdl.handle.net/1808/4199.

MLA Handbook (7^{th} Edition):

Kummini, Neelakandhan Manoj. “Homological Invariants of Monomial and Binomial Ideals.” 2008. Web. 22 Feb 2020.

Vancouver:

Kummini NM. Homological Invariants of Monomial and Binomial Ideals. [Internet] [Doctoral dissertation]. University of Kansas; 2008. [cited 2020 Feb 22]. 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

7. Stone, Branden. Super-Stretched and Countable Cohen-Macaulay Type.

Degree: PhD, Mathematics, 2012, University of Kansas

URL: http://hdl.handle.net/1808/10808

► This dissertation defines what it means for a Cohen-Macaulay ring to to be super-stretched. In particular, a super-stretched Cohen-Macaulay ring of positive dimension has h-vector…
(more)

Subjects/Keywords: Mathematics; Countable type; Maximal cohen macaulay; Super-stretched

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

APA (6^{th} Edition):

Stone, B. (2012). Super-Stretched and Countable Cohen-Macaulay Type. (Doctoral Dissertation). University of Kansas. Retrieved from http://hdl.handle.net/1808/10808

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

Stone, Branden. “Super-Stretched and Countable Cohen-Macaulay Type.” 2012. Doctoral Dissertation, University of Kansas. Accessed February 22, 2020. http://hdl.handle.net/1808/10808.

MLA Handbook (7^{th} Edition):

Stone, Branden. “Super-Stretched and Countable Cohen-Macaulay Type.” 2012. Web. 22 Feb 2020.

Vancouver:

Stone B. Super-Stretched and Countable Cohen-Macaulay Type. [Internet] [Doctoral dissertation]. University of Kansas; 2012. [cited 2020 Feb 22]. Available from: http://hdl.handle.net/1808/10808.

Council of Science Editors:

Stone B. Super-Stretched and Countable Cohen-Macaulay Type. [Doctoral Dissertation]. University of Kansas; 2012. Available from: http://hdl.handle.net/1808/10808

8. Welch, Nathan M. The Rebate Value Process with Some Applications.

Degree: MA, Mathematics, 2013, University of Kansas

URL: http://hdl.handle.net/1808/12265

► In the pricing of credit derivatives default is modelled as a stopping time and prices are typically determined by separation of cash-flows before and at…
(more)

Subjects/Keywords: Mathematics; Finance; Credit derivatives; Enlargement of filtration; Hazard process; Mathematical finance; Mathematics of credit; Recovery

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

APA (6^{th} Edition):

Welch, N. M. (2013). The Rebate Value Process with Some Applications. (Masters Thesis). University of Kansas. Retrieved from http://hdl.handle.net/1808/12265

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

Welch, Nathan M. “The Rebate Value Process with Some Applications.” 2013. Masters Thesis, University of Kansas. Accessed February 22, 2020. http://hdl.handle.net/1808/12265.

MLA Handbook (7^{th} Edition):

Welch, Nathan M. “The Rebate Value Process with Some Applications.” 2013. Web. 22 Feb 2020.

Vancouver:

Welch NM. The Rebate Value Process with Some Applications. [Internet] [Masters thesis]. University of Kansas; 2013. [cited 2020 Feb 22]. Available from: http://hdl.handle.net/1808/12265.

Council of Science Editors:

Welch NM. The Rebate Value Process with Some Applications. [Masters Thesis]. University of Kansas; 2013. Available from: http://hdl.handle.net/1808/12265

9. Holmes, Brent. Serre's Condition and Depth of Stanley-Reisner Rings.

Degree: PhD, Mathematics, 2018, University of Kansas

URL: http://hdl.handle.net/1808/28042

► The aim of this work is to garner a deeper understanding of the relationship between depth of a ring and connectivity properties of the spectrum…
(more)

Subjects/Keywords: Mathematics; Combinatorics; Commutative Algebra; Depth; Hirsch Conjecture; Homological Algebra; Serre's Condition

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

APA (6^{th} Edition):

Holmes, B. (2018). Serre's Condition and Depth of Stanley-Reisner Rings. (Doctoral Dissertation). University of Kansas. Retrieved from http://hdl.handle.net/1808/28042

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

Holmes, Brent. “Serre's Condition and Depth of Stanley-Reisner Rings.” 2018. Doctoral Dissertation, University of Kansas. Accessed February 22, 2020. http://hdl.handle.net/1808/28042.

MLA Handbook (7^{th} Edition):

Holmes, Brent. “Serre's Condition and Depth of Stanley-Reisner Rings.” 2018. Web. 22 Feb 2020.

Vancouver:

Holmes B. Serre's Condition and Depth of Stanley-Reisner Rings. [Internet] [Doctoral dissertation]. University of Kansas; 2018. [cited 2020 Feb 22]. Available from: http://hdl.handle.net/1808/28042.

Council of Science Editors:

Holmes B. Serre's Condition and Depth of Stanley-Reisner Rings. [Doctoral Dissertation]. University of Kansas; 2018. Available from: http://hdl.handle.net/1808/28042