Skew Derivations and Engel Conditions

DOI10.1080/00927872.2012.707719zbMath1296.16050OpenAlexW2077317436MaRDI QIDQ5409772

Charles Lanski

Publication date: 14 April 2014

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

Full work available at URL: https://doi.org/10.1080/00927872.2012.707719

zbMATH Keywords

commutativity theoremsautomorphismsprime ringsskew derivationsLie idealsdifferential identitiesEngel polynomialsEngel identities

Mathematics Subject Classification ID

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

Related Items

An Engel condition with two generalized derivations on Lie ideals of prime rings ⋮ An Engel condition with skew derivations for one-sided ideals ⋮ Additiven-commuting maps on semiprime rings ⋮ An Engel condition withb-generalized derivations ⋮ Annihilators of skew derivations with Engel conditions on prime rings ⋮ An Engel condition with X-generalized skew derivations on Lie ideals ⋮ An Engel condition with two generalized derivations in prime rings ⋮ The structure of \(n\)-commuting additive maps on Lie ideals of prime rings ⋮ Annihilators of Skew Derivations with Engel Conditions on Lie Ideals ⋮ An Engel condition with b-generalized derivations for Lie ideals ⋮ Power-commuting skew derivations on Lie ideals.

Cites Work

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