A Generalization of Engel Conditions with Derivations in Rings

DOI10.1080/00927872.2010.489536zbMath1233.16036OpenAlexW2158081269MaRDI QIDQ3098160

Yu Wang

Publication date: 17 November 2011

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

Full work available at URL: https://doi.org/10.1080/00927872.2010.489536

zbMATH Keywords

commutativity theoremsderivationsprime ringsdifferential identitiesgeneralized polynomial 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) Derivations, actions of Lie algebras (16W25) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Related Items (4)

On the Centralizers of Derivations with Engel Conditions ⋮ Higher-order commutators with power central values on rings and algebras involving generalized derivations ⋮ AN ENGEL CONDITION WITH AUTOMORPHISMS FOR LEFT IDEALS ⋮ Linear derivations on Banach *-algebras

Cites Work

• A note on commutators with power central values on Lie ideals.
• Differential identities of prime rings
• PI-algebras. An introduction
• Commutators with power central values on a Lie ideal
• Prime rings satisfying a generalized polynomial identity
• Annihilators of power values of derivations in prime rings
• An Engel condition with derivation for left ideals
• Semiprime Rings with Hypercentral Derivations
• Unnamed Item

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