On Cohen-Macaulay and Gorenstein simplicial affine semigroups

DOI10.1017/S0013091500019866zbMath0904.20048MaRDI QIDQ3839934

Pedro A. García Sánchez, José Carlos Rosales

Publication date: 11 August 1998

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

complete intersectionsCohen-Macaulay ringsnumerical semigroupsGorenstein ringsminimal systems of generatorsembedding dimensionaffine semigroupsApéry setsCohen-Macaulay simplicial affine semigroups

Mathematics Subject Classification ID

Commutative semigroups (20M14) Ordinary and skew polynomial rings and semigroup rings (16S36) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Free semigroups, generators and relations, word problems (20M05) Semigroup rings, multiplicative semigroups of rings (20M25)

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Cites Work

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• Generators and relations of abelian semigroups and semigroup rings
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• Rings of Invariants of Tori, Cohen-Macaulay Rings Generated by Monomials, and Polytopes
• On numerical semigroups