Generalized derivations acting on multilinear polynomials in prime rings and Banach algebras.

DOI10.1007/S40304-015-0073-YzbMath1339.16046OpenAlexW2190490328MaRDI QIDQ279686

Basudeb Dhara, Nurcan Argaç

Publication date: 29 April 2016

Published in: Communications in Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40304-015-0073-y

zbMATH Keywords

semiprime ringsBanach algebrasprime ringsgeneralized derivationsextended centroidUtumi quotient rings

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Commutators, derivations, elementary operators, etc. (47B47) Linear operators on Banach algebras (47B48) Derivations, actions of Lie algebras (16W25)

Related Items (15)

Identities with generalized derivations in prime rings ⋮ A result concerning b-generalized skew derivations on multilinear polynomials in prime rings ⋮ Generalized skew derivations and generalization of commuting maps on prime rings ⋮ Generalized skew-derivations as generalizations of Jordan homomorphisms in prime rings ⋮ On X-generalized skew derivations and their applications ⋮ Central Values of X-generalized Skew Derivations on Right Ideals in Prime Rings ⋮ Generalized skew-derivations acting on multilinear polynomial in prime rings ⋮ Generalized derivations and generalization of co-commuting maps in prime rings ⋮ Centralizers of \(X\)-generalized skew derivations on multilinear polynomials in prime rings ⋮ Product of generalized skew derivations on Lie ideals ⋮ Unnamed Item ⋮ A note on generalized derivations with multilinear polynomials in prime rings ⋮ Identities with generalized derivations and multilinear polynomials ⋮ A note on generalized skew-derivations on multilinear polynomials in prime rings ⋮ A note on generalized derivations of order 2 and multilinear polynomials in prime rings

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