Defining ideals of semigroup rings which are gorenstein

DOI10.1080/00927879608825796zbMath0857.20049OpenAlexW2056660322MaRDI QIDQ4714536

Kazufumi Eto

Publication date: 3 March 1997

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

Full work available at URL: https://doi.org/10.1080/00927879608825796

zbMATH Keywords

semigroup ringsGorenstein ringsset-theoretic complete intersectionsprojective monomial curvessimplicial semigroups

Mathematics Subject Classification ID

Commutative semigroups (20M14) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Linkage, complete intersections and determinantal ideals (13C40) Free semigroups, generators and relations, word problems (20M05) Complete intersections (14M10) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Semigroup rings, multiplicative semigroups of rings (20M25)

Related Items (1)

Cohen-Macaulay rings associated with digraphs

Cites Work

• Symmetric semigroups of integers generated by 4 elements
• Monomial Gorenstein curves in \(A^4\) as set-theoretic complete intersections
• On finitely generated submonoids of \(\mathbb{N}^ k\)
• Defining ideals of complete intersection monoid rings
• Defining ideals of cohen-macaulay semigroup rings
• Almost complete intersection monomial curves inA⁴

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