Chain conditions in commutative semigroup rings

DOI10.1016/0021-8693(86)90153-5zbMath0602.20059OpenAlexW1987296266MaRDI QIDQ1081705

Robert Gilmer

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1016/0021-8693(86)90153-5

zbMATH Keywords

commutative semigroupnoetherianfinitely generatedidempotent semigroupartinian

Mathematics Subject Classification ID

Commutative semigroups (20M14) Commutative Noetherian rings and modules (13E05) Semigroup rings, multiplicative semigroups of rings (20M25) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Related Items (2)

On the uniqueness of the coefficient ring in a semigroup ring ⋮ Noetherian properties in monoid rings.

Cites Work

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• The converse to a well known theorem on Noetherian rings
• Eleven Nonequivalent Conditions on a Commutative Ring
• If R[ X is Noetherian, R Contains an Identity]

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