On contracted semigroup rings

DOI10.1017/S0308210500024604zbMath0708.16004OpenAlexW2133802182MaRDI QIDQ3490139

W. D. Munn

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1017/s0308210500024604

zbMATH Keywords

idempotentgroup of unitssemigroup ringsinverse semigroupsemigroup algebrasemiprimecontracted semigroup ringsemiprimitiveDomanov theorem

Mathematics Subject Classification ID

Ordinary and skew polynomial rings and semigroup rings (16S36) Prime and semiprime associative rings (16N60) Group rings (16S34) Semigroup rings, multiplicative semigroups of rings (20M25) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Inverse semigroups (20M18)

Related Items (5)

Plactic algebras. ⋮ Prime étale groupoid algebras with applications to inverse semigroup and Leavitt path algebras ⋮ Nil right ideals in inverse semigroup algebras ⋮ Semisimple rings graded by inverse semigroups ⋮ The semigroup ring of a restriction semigroup with an inverse skeleton.

Cites Work

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• Two examples of inverse semigroup algebras
• An example of a semiprimitive semigroup algebra
• A class of contracted inverse semigroup rings
• Nil Ideals in Inverse Semigroup Algebras
• The Idempotent-separating Congruences on a Regular 0-bisimple Semigroup
• On the Group Ring

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