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You searched for subject:(Numerical Semigroup). Showing records 1 – 3 of 3 total matches.

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University of New Mexico

1. White, Bryan. Star Operations and Numerical Semigroup Rings.

Degree: Mathematics & Statistics, 2014, University of New Mexico

We aim to classify the star and semistar operations on conductive numerical semigroup rings which are of the form k + xn k[[x]]. By classifying the star and semistar operations on conductive numerical semigroup rings we obtain a better understanding of the set of star and semistar operations on general numerical semigroup rings. Here we classify all star and semistar operations on the ring k + x4 k[[x]] as well as all semistar operations on k+x5k[[x]] that are not star. We investigate star operations on k+x5k[[x]] with Macaulay 2 and also present several results about general conductive numerical semigroup rings that bring us closer to our goal. Advisors/Committee Members: Vassilev, Janet, Buium, Alexandr, Nakamaye, Michael, Olberding, Bruce.

Subjects/Keywords: Commutative Algebra; Numerical Semigroup; Star Operation

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APA (6th Edition):

White, B. (2014). Star Operations and Numerical Semigroup Rings. (Doctoral Dissertation). University of New Mexico. Retrieved from http://hdl.handle.net/1928/24358

Chicago Manual of Style (16th Edition):

White, Bryan. “Star Operations and Numerical Semigroup Rings.” 2014. Doctoral Dissertation, University of New Mexico. Accessed July 05, 2020. http://hdl.handle.net/1928/24358.

MLA Handbook (7th Edition):

White, Bryan. “Star Operations and Numerical Semigroup Rings.” 2014. Web. 05 Jul 2020.

Vancouver:

White B. Star Operations and Numerical Semigroup Rings. [Internet] [Doctoral dissertation]. University of New Mexico; 2014. [cited 2020 Jul 05]. Available from: http://hdl.handle.net/1928/24358.

Council of Science Editors:

White B. Star Operations and Numerical Semigroup Rings. [Doctoral Dissertation]. University of New Mexico; 2014. Available from: http://hdl.handle.net/1928/24358

2. Guerrieri, Lorenzo. Shannon extensions of regular local rings. Lefschetz properties for Gorenstein graded algebras associated to Apery Sets.

Degree: 2018, Università degli Studi di Catania

Let R be a regular local ring of dimension d > 1. Recently, several authors studied the rings obtained as infinite directed union of iterated local quadratic transforms of R. Here, in the first two chapters we present some results about the ideal theoretic structure and GCD property for such rings and we discuss the more general case of local monoidal transform of R. In the third chapter, we study the Weak Lefschetz property of two classes of standard graded Artinian Gorenstein algebras associated in a natural way to the Apery set of numerical semigroups. To this aim we also prove a general result about the transfer of Weak Lefschetz property from an Artinian Gorenstein algebra to its quotients modulo a colon ideal.

Subjects/Keywords: Area 01 - Scienze matematiche e informatiche; Lefschetz Property, Numerical Semigroup, Local monoidal transforms, GCD domains, pullback construction

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

APA (6th Edition):

Guerrieri, L. (2018). Shannon extensions of regular local rings. Lefschetz properties for Gorenstein graded algebras associated to Apery Sets. (Thesis). Università degli Studi di Catania. Retrieved from http://hdl.handle.net/10761/3910

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

Chicago Manual of Style (16th Edition):

Guerrieri, Lorenzo. “Shannon extensions of regular local rings. Lefschetz properties for Gorenstein graded algebras associated to Apery Sets.” 2018. Thesis, Università degli Studi di Catania. Accessed July 05, 2020. http://hdl.handle.net/10761/3910.

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

MLA Handbook (7th Edition):

Guerrieri, Lorenzo. “Shannon extensions of regular local rings. Lefschetz properties for Gorenstein graded algebras associated to Apery Sets.” 2018. Web. 05 Jul 2020.

Vancouver:

Guerrieri L. Shannon extensions of regular local rings. Lefschetz properties for Gorenstein graded algebras associated to Apery Sets. [Internet] [Thesis]. Università degli Studi di Catania; 2018. [cited 2020 Jul 05]. Available from: http://hdl.handle.net/10761/3910.

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

Council of Science Editors:

Guerrieri L. Shannon extensions of regular local rings. Lefschetz properties for Gorenstein graded algebras associated to Apery Sets. [Thesis]. Università degli Studi di Catania; 2018. Available from: http://hdl.handle.net/10761/3910

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

3. 沼田,崇宏. ALMOST SYMMETRIC NUMERICAL SEMIGROUPS WITH SMALL NUMBER OF GENERATORS : 少ない個数で生成された概対称数値的半群について.

Degree: 博士(理学), 2015, Nihon University / 日本大学

Subjects/Keywords: 数値的半群; numerical semigroup; 半群環; semigroup ring; 概対称; almost symmetric; 擬対称; pseudo symmetric; Ulrichイデアル; Ulrich ideal

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

APA (6th Edition):

沼田,崇宏. (2015). ALMOST SYMMETRIC NUMERICAL SEMIGROUPS WITH SMALL NUMBER OF GENERATORS : 少ない個数で生成された概対称数値的半群について. (Thesis). Nihon University / 日本大学. Retrieved from http://repository.nihon-u.ac.jp/xmlui/handle/11263/503 ; http://dx.doi.org/10.15006/32665A4897

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

Chicago Manual of Style (16th Edition):

沼田,崇宏. “ALMOST SYMMETRIC NUMERICAL SEMIGROUPS WITH SMALL NUMBER OF GENERATORS : 少ない個数で生成された概対称数値的半群について.” 2015. Thesis, Nihon University / 日本大学. Accessed July 05, 2020. http://repository.nihon-u.ac.jp/xmlui/handle/11263/503 ; http://dx.doi.org/10.15006/32665A4897.

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

MLA Handbook (7th Edition):

沼田,崇宏. “ALMOST SYMMETRIC NUMERICAL SEMIGROUPS WITH SMALL NUMBER OF GENERATORS : 少ない個数で生成された概対称数値的半群について.” 2015. Web. 05 Jul 2020.

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

Vancouver:

沼田,崇宏. ALMOST SYMMETRIC NUMERICAL SEMIGROUPS WITH SMALL NUMBER OF GENERATORS : 少ない個数で生成された概対称数値的半群について. [Internet] [Thesis]. Nihon University / 日本大学; 2015. [cited 2020 Jul 05]. Available from: http://repository.nihon-u.ac.jp/xmlui/handle/11263/503 ; http://dx.doi.org/10.15006/32665A4897.

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

Council of Science Editors:

沼田,崇宏. ALMOST SYMMETRIC NUMERICAL SEMIGROUPS WITH SMALL NUMBER OF GENERATORS : 少ない個数で生成された概対称数値的半群について. [Thesis]. Nihon University / 日本大学; 2015. Available from: http://repository.nihon-u.ac.jp/xmlui/handle/11263/503 ; http://dx.doi.org/10.15006/32665A4897

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

.