A note on commutators with power central values on Lie ideals.

DOI10.1007/S10114-005-0805-0zbMath1119.16036OpenAlexW2043189628MaRDI QIDQ882734

Yu Wang, Hong You

Publication date: 24 May 2007

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0805-0

zbMATH Keywords

idempotentsderivationssemiprime ringscentral valuesprime ringscommutatorsLie idealsleft Utumi quotient rings

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Derivations, actions of Lie algebras (16W25) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Related Items (7)

Annihilating power values of co-commutators with generalized derivations. ⋮ Generalized derivations on Lie ideals in prime rings ⋮ Generalized skew derivations on Lie ideals in prime rings ⋮ Higher-order commutators with power central values on rings and algebras involving generalized derivations ⋮ Annihilator condition on power values of derivations. ⋮ A Generalization of Engel Conditions with Derivations in Rings ⋮ Power-commuting skew derivations on Lie ideals.

Cites Work

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• Differential identities of prime rings
• PI-algebras. An introduction
• Prime nonassociative algebras
• Commutators with power central values on a Lie ideal
• Differential identities, Lie ideals, and Posner's theorems
• Prime rings satisfying a generalized polynomial identity
• Lie structure of prime rings of characteristic 2
• Generalized differential identities of (semi-)prime rings.
• Derivations in Prime Rings
• Gpis Having Coefficients in Utumi Quotient Rings
• Annihilators of power values of derivations in prime rings
• Commuting Traces of Biadditive Mappings, Commutativity-Preserving Mappings and Lie Mappings
• An Engel Condition with Derivation

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