Prime and semiprime semigroup rings of cancellative semigroups

DOI10.1017/S0017089500009514zbMath0780.16024OpenAlexW2162559656MaRDI QIDQ4033120

Okniński, Jan

Publication date: 16 May 1993

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089500009514

zbMATH Keywords

congruencessemigroup ringsOre semigroupcancellative semigroupsFC-centerFC-subsemigroupsemiprime semigroup algebras

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Prime and semiprime associative rings (16N60) Semigroup rings, multiplicative semigroups of rings (20M25) FC-groups and their generalizations (20F24)

Related Items (5)

THE SEMIPRIMENESS OF SEMIGROUP RINGS ⋮ Semiprimeness of semigroup algebras ⋮ Algebras of right ample semigroups ⋮ Prime and semiprime semigroup algebras of cancellative semigroups ⋮ The semigroup ring of a restriction semigroup with an inverse skeleton.

Cites Work

• Unnamed Item
• Centers of semigroup rings and conjugacy classes
• On the immersion of an algebraic ring into a field

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