Maschke's theorem for semigroups

DOI10.1016/0021-8693(81)90321-5zbMath0471.20054OpenAlexW1973211202MaRDI QIDQ1157411

Michael P. Drazin

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0021-8693(81)90321-5

zbMATH Keywords

nil radicalfinite semigroupsemisimple semigroup algebrasright regular representation

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Semigroup rings, multiplicative semigroups of rings (20M25)

Related Items

Semigroup rings ⋮ Natural *-representations of inverse semigroups by operators ⋮ Structure of the rational monoid algebra for Boolean matrices of order 3 ⋮ Extension of Maschke’s theorem ⋮ Structure matrices of algebras

Cites Work

• Representations of semigroups by linear transformations. II
• Finite dimensional convolution algebras
• Regularity of Semigroup Rings
• The radical of the algebra of any finite semigroup over any field
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