Semigroup algebras and direct sums of domains

DOI10.1016/0021-8693(91)90184-AzbMath0728.16013MaRDI QIDQ804680

Fabien Decruyenaere, P. Wauters, Eric Jespers

Publication date: 1991

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

zbMATH Keywords

commutative semigroupsemigroup algebraprimitive idempotentGaussian ringdirect sum of domainshereditary Noetherian ringKrull ordertorsion free semigroup

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Semigroup rings, multiplicative semigroups of rings (20M25)

Related Items (1)

Radicals of semigroup rings of commutative semigroups

Cites Work

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• On commutative principal ideal semigroup rings
• A general notion of noncommutative Krull rings
• On finite generation of unit groups of commutative group rings
• Nilpotent elements of commutative semigroup rings
• On commutative semigroup algebras
• Divisibility Properties of Graded Domains
• Arithmetical and semihereditary semigroup rings
• Krull Semigroups and Divisor Class Groups
• Gauss' Lemma

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