Derivations cocentralizing polynomials

DOI10.11650/twjm/1500407017zbMath0927.16032OpenAlexW1852820979MaRDI QIDQ1282136

Wen-Kwei Shiue, Tsiu-Kwen Lee

Publication date: 12 December 1999

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11650/twjm/1500407017

zbMATH Keywords

derivationsprime ringsextended centroidsmultilinear polynomials

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)

Related Items (29)

\(b\)-generalized skew derivations on multilinear polynomials in prime rings ⋮ Commutator identity involving generalized derivations on multilinear polynomials ⋮ Unnamed Item ⋮ b-Generalized derivations act as a multipliers on prime rings ⋮ A relation of generalized derivations acting on multilinear polynomials in prime rings ⋮ Annihilators and centralizers of generalized skew derivations on multilinear polynomials ⋮ On X-generalized skew derivations and their applications ⋮ Centralizers of generalized derivations on multilinear polynomials in prime rings. ⋮ Central Values of X-generalized Skew Derivations on Right Ideals in Prime Rings ⋮ On \(b\)-generalized derivations in prime rings ⋮ Generalized skew derivations with hypercommuting conditions on Lie ideals ⋮ Generalized Skew Derivations and g-Lie Derivations of Prime Rings ⋮ Generalized skew derivations with centralizer conditions on multilinear polynomials ⋮ Product and commuting generalized derivations in prime rings ⋮ Cocentralizing derivations and nilpotent values on Lie ideals. ⋮ Generalized derivations act as a Jordan homomorphism on multilinear polynomials ⋮ Cocentralizing generalized derivations on multilinear polynomial on right ideals of prime rings. ⋮ Generalized derivations with multilinear polynomials in prime rings ⋮ Derivations vanishing on commutator identity involving generalized derivation on multilinear polynomials in prime rings ⋮ Centralizers of \(X\)-generalized skew derivations on multilinear polynomials in prime rings ⋮ Product of generalized skew derivations on Lie ideals ⋮ Pair of generalized derivations acting on multilinear polynomials in prime rings ⋮ Strong commutativity preserving maps on Lie ideals. ⋮ Generalized skew derivations cocentralizing multilinear polynomials ⋮ Vanishing derivations on some subsets in prime rings involving generalized derivations ⋮ Identities with generalized derivations and multilinear polynomials ⋮ A result concerning generalized derivations on multilinear polynomials in prime rings ⋮ Centralizing b-generalized derivations on multilinear polynomials ⋮ Rather large subsets and vanishing generalized derivations on multilinear polynomials

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