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- W4306704810 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 the simplicial affine semigroup and show that the Betti numbers of the corresponding semigroup ring matches with the Betti numbers of the associated graded ring. We also define the nice extension for simplicial affine semigroups, motivated by the notion of a nice extension of the numerical semigroups." @default.
- W4306704810 created "2022-10-19" @default.
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- W4306704810 date "2022-10-14" @default.
- W4306704810 modified "2023-09-30" @default.
- W4306704810 title "On the Associated Graded ring of Semigroup Algebras" @default.
- W4306704810 doi "https://doi.org/10.48550/arxiv.2210.07520" @default.
- W4306704810 hasPublicationYear "2022" @default.
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