Power Values of Derivations with Annihilator Conditions on Lie Ideals in Prime Rings

DOI10.1080/00927870802226213zbMath1181.16035OpenAlexW2038796516MaRDI QIDQ5325710

Basudeb Dhara

Publication date: 24 July 2009

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

Full work available at URL: https://doi.org/10.1080/00927870802226213

zbMATH Keywords

derivationsprime ringsLie idealsextended centroidsMartindale quotient rings

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Derivations, actions of Lie algebras (16W25)

Related Items (14)

Annihilator condition of a pair of derivations in prime and semiprime rings ⋮ A result on generalized skew derivations on Lie ideals in prime rings ⋮ Derivations with annihilator conditions on multilinear polynomials ⋮ Power values of generalized derivations with annihilator conditions in prime rings. ⋮ Skew Derivations with Nilpotent Values in Rings and Banach Algebras ⋮ Generalized derivations with annihilator conditions in prime rings ⋮ Annihilator condition on power values of derivations. ⋮ Power Values of Generalized Derivations with Annihilator Conditions in Prime Rings ⋮ Left Annihilator of Commutator Identity with Generalized Derivations and Multilinear Polynomials in Prime Rings ⋮ Left annihilator of generalized derivations on Lie ideals in prime rings. ⋮ Generalized derivations on Lie ideals in prime rings ⋮ Co-commutators with Generalized Derivations on Lie Ideals in Prime Rings ⋮ Annihilators of power values of derivations on Lie ideals of prime rings ⋮ Power-commuting skew derivations on Lie ideals.

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