When is a semigroup ring of a commutative semigroup local or semilocal?

DOI10.1016/0021-8693(87)90132-3zbMath0613.20045OpenAlexW1966787151MaRDI QIDQ1088785

P. Wauters, Eric Jespers

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0021-8693(87)90132-3

zbMATH Keywords

commutative semigroupArchimedean decompositionp-separative congruencessemilocal semigroup ringssemilocal semilattice- graded rings

Mathematics Subject Classification ID

Commutative semigroups (20M14) Noncommutative local and semilocal rings, perfect rings (16L30) Graded rings and modules (associative rings and algebras) (16W50) Semigroup rings, multiplicative semigroups of rings (20M25) Associative rings and algebras with additional structure (16W99)

Related Items (6)

On semigroup algebras of cancellative commutative semigroups ⋮ When is the radical of a band sum of rings homogeneous? ⋮ Noetherian properties in monoid rings. ⋮ Semigroup rings with certain finiteness conditions ⋮ Simple semigroup graded rings ⋮ Algebra - 7

Cites Work

• Unnamed Item
• Unnamed Item
• Tensor products of semiprimary algebras
• On finite generation of unit groups of commutative group rings
• Semigroup Rings and Semilattice Sums of Rings
• On commutative semigroup algebras
• Semilocal semigroup rings
• The algebra of a commutative semigroup over a commutative ring with unity
• The Brown Mccoy radical of semigroup rings of commutative cancellative semigroups
• On Semisimple Semigroup Rings
• Radicals of semigroup rings of commutative semigroups

This page was built for publication: When is a semigroup ring of a commutative semigroup local or semilocal?