Semisimple artinian graded rings

DOI10.1080/00927879908826669zbMath0947.16027OpenAlexW2045712659MaRDI QIDQ4261244

Andrei V. Kelarev, Jilyana Cazaran

Publication date: 10 May 2000

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

Full work available at URL: https://doi.org/10.1080/00927879908826669

zbMATH Keywords

idempotentsidentitiesinverse semigroupssemigroup varietiessemilatticessemigroup algebrasClifford semigroupssemigroup graded ringssemisimple Artinian graded rings

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) Varieties and pseudovarieties of semigroups (20M07) Ordinary and skew polynomial rings and semigroup rings (16S36) Graded rings and modules (associative rings and algebras) (16W50) Semigroup rings, multiplicative semigroups of rings (20M25) Finite-dimensional division rings (16K20) Artinian rings and modules (associative rings and algebras) (16P20)

Cites Work

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• Applications of epigroups to graded ring theory
• Descending chain conditions and graded rings
• The preservation of some ring properties by semilattice sums
• Radicals and semilattice sums of rings revisted
• A Class of Band-Graded Rings
• Prime ideals and radicals in rings graded by clifford semigroups
• Artinian Semigroup-Graded Rings
• Radicals of Twisted Group Rings, II

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