A result on generalized derivations on Lie ideals in prime rings.

DOI10.1007/s13366-012-0128-0zbMath1279.16034OpenAlexW2052748091WikidataQ115375981 ScholiaQ115375981MaRDI QIDQ375938

Basudeb Dhara, Sachhidananda Mondal, Sukhendu Kar

Publication date: 1 November 2013

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-012-0128-0

zbMATH Keywords

commutativity theoremsprime ringsLie idealsgeneralized derivations

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) 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

Identities related to generalized derivation on ideal in prime rings ⋮ Generalized derivations on Lie ideals in prime rings ⋮ An identity with generalized skew derivations on Lie ideals ⋮ Pair of Generalized Derivations and Lie Ideals in Prime Rings ⋮ On Lie ideals satisfying certain differential identities in prime rings ⋮ Some identities related to multiplicative (generalized)-derivations in prime and semiprime rings ⋮ Prime ideals and generalized derivations with central values on rings ⋮ Dhara-Rehman-Raza's identities on left ideals of prime rings

Cites Work

• Some commutativity theorems for rings with generalized derivations.
• Lie ideals and derivations of prime rings
• Remarks on derivations on semiprime rings
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