A class of contracted inverse semigroup rings

DOI10.1017/S0308210500029449zbMath0627.20041OpenAlexW2131191002MaRDI QIDQ3031025

W. D. Munn

Publication date: 1987

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/s0308210500029449

zbMATH Keywords

idealsradicalsinverse semigroupchain conditionsmaximal subgroupsemiprimecontracted semigroup ringsemilattice of idempotentssemiprimitivepseudofinite semilatticesemigroup rings of free inverse semigroups

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) Associative rings and algebras with additional structure (16W99)

Related Items (20)

Locally adequate semigroup algebras ⋮ A note on primeness of semigroup rings ⋮ On contracted semigroup rings ⋮ Semiprimeness of semigroup algebras ⋮ The isomorphism problem for graph magma algebras ⋮ Simplicity, primitivity and semiprimitivity of étale groupoid algebras with applications to inverse semigroup algebras ⋮ Two Value Graph Magma Algebras and Amenability ⋮ Characterizing rings in terms of the extent of the injectivity of their simple modules ⋮ Trace functions on inverse semigroup algebras ⋮ Prime étale groupoid algebras with applications to inverse semigroup and Leavitt path algebras ⋮ ℛ-unipotent semigroup algebras ⋮ The work of Douglas Munn and its legacy ⋮ Compactable semilattices ⋮ Semisimple rings graded by inverse semigroups ⋮ Semiprimitivity of Orthodox Semigroup Algebras ⋮ On the semiprimitivity of inverse semigroup algebras and on theorems by Domanov and Munn ⋮ The \(\pi\)-semisimplicity of locally inverse semigroup algebras ⋮ A groupoid approach to discrete inverse semigroup algebras ⋮ On the amenability profile of infinite dimensional algebras ⋮ The semigroup ring of a restriction semigroup with an inverse skeleton.

Cites Work

• Two examples of inverse semigroup algebras
• An example of a semiprimitive semigroup algebra
• Group rings of free products are primitive
• The radical of a ring
• When is the Semigroup Ring Perfect?
• Free Inverse Semigroups
• CONGRUENCE-FREE INVERSE SEMIGROUPS
• The Algebra of a Combinatorial Inverse Semigroup
• Semiprimitivity of inverse semigroup algebras
• The Idempotent-separating Congruences on a Regular 0-bisimple Semigroup
• Rings satisfying a minimum condition on principal ideals.
• On the Group Ring

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