On the Jacobson radical of semigroup graded rings

DOI10.1006/JABR.1994.1273zbMath0811.16034OpenAlexW2079880354MaRDI QIDQ1336462

M. V. Clase, Eric Jespers

Publication date: 23 April 1995

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

Full work available at URL: https://doi.org/10.1006/jabr.1994.1273

zbMATH Keywords

idempotentJacobson radicalsemigroup algebrasJacobson ringspolynomial identitygroup graded ringsgraded prime idealsgradations by completely 0-simple semigroups

Mathematics Subject Classification ID

General structure theory for semigroups (20M10) 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) Jacobson radical, quasimultiplication (16N20)

Related Items (14)

On the connected power graphs of semigroups of homogeneous elements of graded rings ⋮ Applications of epigroups to graded ring theory ⋮ On the Jacobson radical of a groupoid graded ring ⋮ On group graded rings satisfying polynomial identities ⋮ Bergman's lemma for graded rings ⋮ Semigroup-graded rings with finite support ⋮ Radicals in skew polynomial and skew Laurent polynomial rings. ⋮ ON THE STRUCTURE OF THE JACOBSON RADICAL OF GRADED RINGS ⋮ Invariant radicals ⋮ A NOTE ON NIL AND JACOBSON RADICALS IN GRADED RINGS ⋮ ON THE JACOBSON RADICAL OF GRADED RINGS ⋮ Radicals of semigroup rings of commutative semigroups ⋮ Semigroup graded algebras and graded PI-exponent ⋮ Group algebras and semigroup algebras defined by permutation relations of fixed length

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