Power-Centralizing Automorphisms of Lie Ideals in Prime Rings

DOI10.1080/00927870500387812zbMath1093.16020OpenAlexW2159955296MaRDI QIDQ5470020

Yu Wang

Publication date: 29 May 2006

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

Full work available at URL: https://doi.org/10.1080/00927870500387812

zbMATH Keywords

automorphismsprime ringsstandard identitiesLie ideals

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Generalizations of commutativity (associative rings and algebras) (16U80) Rings with involution; Lie, Jordan and other nonassociative structures (16W10)

Related Items (22)

An identity on automorphisms of Lie ideals in prime rings. ⋮ \(b\)-generalized skew derivations on Lie ideals ⋮ An identity on partial generalized automorphisms of prime rings. ⋮ Skew Derivations with Power Central Values on Commutators ⋮ Unnamed Item ⋮ On Commutators Involving Derivations and Automorphisms in Prime Rings ⋮ Generalized skew derivations on Lie ideals in prime rings ⋮ On Lie ideals and automorphisms in prime rings ⋮ An identity with generalized skew derivations on Lie ideals ⋮ Unnamed Item ⋮ AN ENGEL CONDITION WITH AUTOMORPHISMS FOR LEFT IDEALS ⋮ Unnamed Item ⋮ Annihilating and power-commuting generalized skew derivations on lie ideals in prime rings ⋮ A note on annihilator conditions in prime rings ⋮ Power-commuting generalized skew derivations in prime rings. ⋮ \(m\)-potent commutators involving skew derivations and multilinear polynomials ⋮ Commutators and anti-commutators having automorphisms on Lie ideals in prime rings ⋮ \(m\)-potent commutators of skew derivations on Lie ideals ⋮ N-commuting mappings on (semi)-prime rings with applications ⋮ An Engel condition with skew derivations. ⋮ On semi(prime) rings and algebras with automorphisms and generalized derivations ⋮ Power-commuting skew derivations on Lie ideals.

Cites Work

• Differential identities with automorphisms and antiautomorphisms. II
• PI-algebras. An introduction
• Commutators with power central values on a Lie ideal
• Centralizing mappings and derivations in prime rings
• Prime rings satisfying a generalized polynomial identity
• Centralizing Automorphisms of Lie Ideals in Prime Rings
• Centralizing Automorphisms of Prime Rings
• Unnamed Item

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