Prime rings having one-sided ideal with polynomial identity coincide with special Johnson rings

DOI10.1016/0021-8693(71)90121-9zbMath0222.16016OpenAlexW2038436078MaRDI QIDQ2547600

Surender Kumar Jain

Publication date: 1971

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

Full work available at URL: https://doi.org/10.1016/0021-8693(71)90121-9

Mathematics Subject Classification ID

Other kinds of identities (generalized polynomial, rational, involution) (16R50) Torsion theories; radicals on module categories (associative algebraic aspects) (16S90) Jacobson radical, quasimultiplication (16N20) Semiprime p.i. rings, rings embeddable in matrices over commutative rings (16R20)

Related Items (7)

Monomial conditions on prime rings ⋮ Associative and Jordan algebras generated by two idempotents ⋮ Associative rings ⋮ Generalized polynomial identities ⋮ When Is a Graded PI Algebra a PI Algebra? ⋮ On Martindale's theorem ⋮ On graded polynomial identities with an antiautomorphism

Cites Work

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• Prime rings with a one-sided ideal satisfying a polynomial identity
• Lectures on injective modules and quotient rings
• Prime rings satisfying a generalized polynomial identity
• Generalized Polynomial Identities and Pivotal Monomials
• Prime Rings Satisfying a Polynomial Identity

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