Generalized polynomial identities

DOI10.1016/0021-8693(75)90170-2zbMath0308.16011OpenAlexW2761336852MaRDI QIDQ1218491

Louis Halle Rowen

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1016/0021-8693(75)90170-2

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Simple and semisimple modules, primitive rings and ideals in associative algebras (16D60) Varieties (08B99) Rings with polynomial identity (16Rxx)

Related Items (16)

Nilpotent Symmetric Units in Group Rings ⋮ Central polynomials for special Jordan rings without nilpotent elements, and an analog of Kaplansky's theorem ⋮ Skew fields with involution having only one unitary element ⋮ Skew *-derivations with power-central values ⋮ On the images of generalized polynomials evaluated on matrices over an algebraically closed skew field ⋮ Unnamed Item ⋮ On skew derivations of semiprime rings ⋮ Associative rings ⋮ k-skew Lie products on prime rings with involution ⋮ Monomial conditions on rings ⋮ General polynomial identities. II ⋮ Generalized polynomial identities. III ⋮ Generalized identities with automorphisms of associative rings with unit ⋮ Mixed identities in groups ⋮ Bases for skew derivations ⋮ On Nilpotent Derivations of Prime Rings

Cites Work

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• On rings with central polynomials
• Identities in rings with involutions
• Rings with involution and polynomial identities
• Prime rings having one-sided ideal with polynomial identity coincide with special Johnson rings
• Prime rings with involution and generalized polynomial identities
• On Classical Quotients of Polynomial Identity Rings with Involution
• Structure of Rings with Involution Applied to Generalized Polynomial Identities
• Generalized Polynomial Identities and Pivotal Monomials
• Rings with Involution and Polynomial Identities

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