On the semiprimitivity of inverse semigroup algebras and on theorems by Domanov and Munn

DOI10.1007/BF02573265zbMath0683.20053OpenAlexW1979950662MaRDI QIDQ1824706

Josif S. Ponizovskii

Publication date: 1990

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/135017

zbMATH Keywords

idempotentsgroup ringssemigroup ringinverse semigroupsemiprimitive ringDomanov's theorempseudofinite lattice

Mathematics Subject Classification ID

Group rings (16S34) Semigroup rings, multiplicative semigroups of rings (20M25) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items

Semiprimeness of semigroup algebras ⋮ The work of Douglas Munn and its legacy ⋮ Semiprimitivity of Orthodox Semigroup Algebras ⋮ The \(\pi\)-semisimplicity of locally inverse semigroup algebras

Cites Work

• On semigroup rings
• An example of a semiprimitive semigroup algebra
• A class of contracted inverse semigroup rings
• On Semisimple Semigroup Rings
• Unnamed Item
• Unnamed Item