Semiprimitivity of inverse semigroup algebras

DOI10.1017/S0308210500031681zbMath0509.20052MaRDI QIDQ4748362

W. D. Munn

Publication date: 1982

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

Jacobson radicalnil idealssemigroup algebrabicyclic semigroupE-unitary inverse semigroupsfree inverse semigroupresidually finite inverse semigroupssemiprimitive

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Semigroup rings, multiplicative semigroups of rings (20M25) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60)

Related Items (11)

Semigroup rings ⋮ Natural *-representations of inverse semigroups by operators ⋮ Semiprimeness of semigroup algebras ⋮ Simplicity, primitivity and semiprimitivity of étale groupoid algebras with applications to inverse semigroup algebras ⋮ Prime étale groupoid algebras with applications to inverse semigroup and Leavitt path algebras ⋮ Nil right ideals in inverse semigroup algebras ⋮ On commutative semigroup algebras ⋮ A class of contracted inverse semigroup rings ⋮ The work of Douglas Munn and its legacy ⋮ On the singular ideals of inverse semigroup algebras ⋮ On semigroups with involution

Cites Work

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• On the semi-simplicity of group algebras
• Group rings of free products are primitive
• The uniqueness of norm problem in Banach algebras
• A Class of Irreducible matrix representations of an Arbitrary Inverse Semigroup
• Free Inverse Semigroups
• Regular ω-semigroups
• Radicals of semigroup rings
• Free generators in free inverse semigroups

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