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Communications in Algebra Volume 48, 2020 - Issue 3
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Original Articles

Numerical semigroup algebras

I-Chiau HuangAcademia Sinica, Institute of Mathematics, Taipei, Taiwan, ROC;
&
Mee-Kyoung KimDepartment of Mathematics, Sungkyunkwan University, Suwon, Republic of KoreaCorrespondence[email protected]
Pages 1079-1088 | Received 17 Aug 2018, Accepted 06 Sep 2019, Published online: 30 Dec 2019
 
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Abstract

We study a numerical semigroup ring as an algebra over another numerical semigroup ring. The construction of numerical semigroup rings by gluings finds its place in the relative setting. Cohen-Macaulay, Gorenstein and complete intersection properties of the algebra are interpreted explicitly in terms of Apéry monomials to emphasize the computational aspect.

2010 MATHEMATICS SUBJECT CLASSIFICATION:

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