On the Gorenstein locus of simplicial affine semigroup rings

DOI10.1080/00927872.2022.2057513zbMath1492.13034OpenAlexW4280578956MaRDI QIDQ5085194

Marjan Yaghmaei, Raheleh Jafari, Abdoljavad Taherizadeh

Publication date: 27 June 2022

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

Full work available at URL: https://doi.org/10.1080/00927872.2022.2057513

zbMATH Keywords

Gorenstein ringsApéry setsimplicial affine semigrouphomogeneous localization

Mathematics Subject Classification ID

Commutative semigroups (20M14) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Semigroup rings, multiplicative semigroups of rings (20M25) Combinatorial aspects of commutative algebra (05E40)

Cites Work

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• On Buchsbaum simplicial affine semigroups.
• Hilbert functions of graded algebras
• Syzygies of affine toric varieties
• Ulrich elements in normal simplicial affine semigroups
• Type and conductor of simplicial affine semigroups
• Measuring the non-Gorenstein locus of Hibi rings and normal affine semigroup rings
• Polytopes, Rings, and K-Theory
• Affine Semigroups and Cohen-Macaulay Rings Generated by Monomials
• Corrigendum to "Affine Semigroups and Cohen-Macaulay Rings Generated by Monomials"
• On Cohen-Macaulay and Gorenstein simplicial affine semigroups
• THE GEOMETRY OF TORIC VARIETIES
• Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes

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