Two-generated ideals in non-Noetherian semigroup rings

DOI10.1016/0022-4049(95)00124-7zbMath0863.20031OpenAlexW2074911096MaRDI QIDQ1921370

J. S. Okon, J. Paul Vicknair, David E. Rush

Publication date: 15 April 1997

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(95)00124-7

zbMATH Keywords

commutative cancellative monoidsfinitely generated torsion-free modules2-generator propertycommutative semigroup rings

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Semigroup rings, multiplicative semigroups of rings (20M25)

Related Items (3)

GENERATING IDEALS IN COMMUTATIVE ARTINIAN GROUP RINGS AND A GENERALIZE D PASCAL'S TRIANGLE ⋮ Numbers of generators of ideals in a group ring of an elementary Abelian \(p\)-group ⋮ Numbers of generators of ideals in zero-dimensional group rings

Cites Work

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• n-Generator Property of a Polynomial Ring
• Notes on Noetherian Semigroup Rings
• Group rings with n-generated ideals
• Commutative Semigroup Rings with Two-Generated Ideals
• Coherence of Polynomial Rings
• Arithmetical Semigroup Rings
• Some Examples of one Dimensional Gorenstein Domains

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