On group graded rings satisfying polynomial identities

DOI10.1017/S0017089500031104zbMath0829.16015OpenAlexW1995401729MaRDI QIDQ4846740

Okniński, Jan, Andrei V. Kelarev

Publication date: 17 January 1996

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089500031104

zbMATH Keywords

Jacobson radicalstrongly graded ringsnilpotency\(G\)-graded rings\(G\)-graded PI- algebrashomogeneous nil radicalnilness

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Graded rings and modules (associative rings and algebras) (16W50) Jacobson radical, quasimultiplication (16N20) Identities other than those of matrices over commutative rings (16R40)

Related Items (8)

Applications of epigroups to graded ring theory ⋮ Unnamed Item ⋮ On the Jacobson radical of a groupoid graded ring ⋮ On graded nil clean rings ⋮ Group graded rings with the nil-good property ⋮ On graded trinil clean rings ⋮ Notes on the graded Jacobson radical: a graded version of the Jacobson stable set ⋮ A note on the graded isoradical of a graded ring

Cites Work

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• The nilpotency of the radical in a finitely generated P.I. ring
• A permutational property of groups
• On the Jacobson radical of semigroup graded rings
• The algebra of a commutative semigroup over a commutative ring with unity
• On the radical of semigroup algebras satisfying polynomial identities
• The Jacobson radical of a band ring
• On radicals of graded rings
• A Class of Band-Graded Rings

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