A result on derivations with Engel condition in prime rings

zbMath0945.16027MaRDI QIDQ1964728

Tsiu-Kwen Lee, Wen-Kwei Shiue

Publication date: 3 October 2000

Published in: Southeast Asian Bulletin of Mathematics (Search for Journal in Brave)

zbMATH Keywords

derivationsprime ringsextended centroidsdifferential identitiesgeneralized polynomial identitiesMartindale quotient rings

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 (11)

On skew derivations in semiprime rings ⋮ Identities related to generalized derivation on ideal in prime rings ⋮ Differential identities on ideals in prime rings ⋮ Some identities related to multiplicative (generalized)-derivations in prime and semiprime rings ⋮ Unnamed Item ⋮ Higher-order commutators with power central values on rings and algebras involving generalized derivations ⋮ An Engel condition with two generalized derivations in prime rings ⋮ Engel conditions of generalized derivations on Lie ideals and left sided ideals in prime rings and Banach algebras ⋮ Unnamed Item ⋮ Engel conditions of generalized derivations on left ideals and Lie ideals in prime rings ⋮ Engel type identities with derivations for right ideals in prime rings.

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