The extended cwtroid in ∗-prime rings

DOI10.1080/00927878208822753zbMath0482.16014OpenAlexW1969143961MaRDI QIDQ3939953

W. E. Baxter, Wallace S. III Martindale

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1080/00927878208822753

zbMATH Keywords

skew-symmetric elementsextended centroidLie ideal*-prime ringscentral closureprime Lie ring*- ideal

Mathematics Subject Classification ID

Structure theory for nonassociative algebras (17A60) Prime and semiprime associative rings (16N60) Rings with involution; Lie, Jordan and other nonassociative structures (16W10)

Related Items

Generalized Lie ideals in *-prime rings, The extended centroid in semiprime rings with involution, Prime quotients of Jordan systems and Lie algebras, PI theory for associative pairs, A description of ad-nilpotent elements in semiprime rings with involution, Finite \(\mathbb Z\)-gradings of Lie algebras and symplectic involutions., Isomorphisms of a certain class of prime Lie rings, Herstein's Lie theory revisited, Lie isomorphisms of non-gpi rings wiht involution

Cites Work

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• Jordan homomorphisms of semiprime rings
• Prime nonassociative algebras
• Rings with involution and polynomial identities
• Prime rings with involution and generalized polynomial identities
• The Lie structure in prime rings with involution
• Central closure of semiprime non-associative rings
• Lie isomorphisms of the skew elements of a prime ring with involution