Simplicial Affine Semigroups with Monomial Minimal Reduction Ideals
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DOI: 10.1007/s00009-022-02003-8
Abstract: We characterize when the monomial maximal ideal of a simplicial affine semigroup ring has a monomial minimal reduction. When this is the case, we study the Cohen-Macaulay and Gorenstein properties of the associated graded ring… read more here.
Keywords: semigroups monomial; minimal reduction; simplicial affine; affine semigroups ... See more keywords
Type and conductor of simplicial affine semigroups
Sign Up to like & getrecommendations! Published in 2022 at "Journal of Pure and Applied Algebra"
DOI: 10.1016/j.jpaa.2021.106844
Abstract: Abstract We provide a generalization of pseudo-Frobenius numbers of numerical semigroups to the context of the simplicial affine semigroups. In this way, we characterize the Cohen-Macaulay type of the simplicial affine semigroup ring K [… read more here.
Keywords: cohen macaulay; simplicial affine; affine semigroups; conductor ... See more keywords
On the associated graded ring of semigroup algebras
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DOI: 10.1080/00927872.2023.2203773
Abstract: In this paper, we give the necessary and sufficient conditions for the Cohen-Macaulayness of the associated graded ring of a simplicial affine semigroups using Gr\"{o}bner basis. We generalize the concept of homogeneous numerical semigroup for… read more here.
Keywords: associated graded; semigroup algebras; graded ring; simplicial affine ... See more keywords