On the associated graded ring of semigroup algebras

DOI10.1080/00927872.2023.2203773arXiv2210.07520OpenAlexW4367672294MaRDI QIDQ6164558

Pranjal Srivastava, Indranath Sengupta, Joydip Saha

Publication date: 28 July 2023

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.07520

zbMATH Keywords

Gröbner basesBetti numbersCohen-Macaulayassociated graded ringsaffine semigroups

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Semigroup rings, multiplicative semigroups of rings (20M25)

Cites Work

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• Extensions of toric varieties
• Homogeneous numerical semigroups
• Recursive computation of free resolutions and a generalized Koszul complex
• Problems and algorithms for affine semigroups
• Binomial ideals
• Cohen-Macaulay criteria for projective monomial curves via Gröbner bases
• Simplicial affine semigroups with monomial minimal reduction ideals
• Gluing semigroups: when and how
• Generators and relations of abelian semigroups and semigroup rings
• Hilbert functions of Gorenstein monomial curves
• Gluing and Hilbert functions of monomial curves
• On the Depth of the Symmetric Algebra
• When is a regular sequence super regular?

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