A characterization of some families of Cohen-Macaulay, Gorenstein and/or Buchsbaum rings

DOI10.1016/j.dam.2018.03.021zbMath1422.13021arXiv1507.04536OpenAlexW2964035484MaRDI QIDQ2420421

Alberto Vigneron-Tenorio, Daniel Marín Aragon, Juan Ignacio García García

Publication date: 6 June 2019

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.04536

zbMATH Keywords

Cohen-Macaulay ringGorenstein ringaffine semigroupBuchsbaum ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10)

Related Items (1)

Characterizing affine \(\mathcal{C}\)-semigroups

Uses Software

• Macaulay2
• Normaliz
• Python

Cites Work

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• Affine convex body semigroups.
• On Buchsbaum simplicial affine semigroups.
• Computing families of Cohen-Macaulay and Gorenstein rings
• An extension of Wilf's conjecture to affine semigroups
• On the ubiquity of Gorenstein rings
• Ring and Semigroup Constructions
• Introduction to Toric Varieties. (AM-131)
• Polytopes, Rings, and K-Theory
• Affine Semigroups and Cohen-Macaulay Rings Generated by Monomials
• On Cohen-Macaulay and Gorenstein simplicial affine semigroups
• Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes

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