AN IDENTITY WITH GENERALIZED DERIVATIONS

DOI10.1142/S021949880900331XzbMath1186.16050OpenAlexW2024277306WikidataQ57787950 ScholiaQ57787950MaRDI QIDQ3637792

Tsiu-Kwen Lee, Yiqiang Zhou

Publication date: 14 July 2009

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021949880900331x

zbMATH Keywords

prime ringspolynomial identitiesgeneralized derivations

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Derivations, actions of Lie algebras (16W25)

Related Items (14)

Annihilator condition of a pair of derivations in prime and semiprime rings ⋮ An Engel condition with two generalized derivations on Lie ideals of 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 with hypercommuting conditions on Lie ideals ⋮ Strong commutativity preserving generalized derivations on right ideals. ⋮ An Engel condition with two generalized derivations in prime rings ⋮ AN ENGEL CONDITION WITH AUTOMORPHISMS FOR LEFT IDEALS ⋮ Centralizers of \(X\)-generalized skew derivations on multilinear polynomials in prime rings ⋮ Functional identities and Jordan σ-derivations ⋮ Jordan derivations of prime rings with characteristic two. ⋮ Strong commutativity preserving generalized derivations on Lie ideals ⋮ Identities with Engel conditions on derivations. ⋮ b-GENERALIZED DERIVATIONS OF SEMIPRIME RINGS HAVING NILPOTENT VALUES

Cites Work

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• On invariant additive subgroups
• Generalized skew derivations characterized by acting on zero products.
• On generalized biderivations and related maps
• Prime rings satisfying a generalized polynomial identity
• On the distance of the composition of two derivations to the generalized derivations
• Identities with derivations on rings and Banach algebras
• On a Result of Levitzki
• On the product of two generalized derivations
• Generalized derivations of left faithful rings
• Generalized derivations in rings^*
• The Skolem–Noether Theorem for Semiprime Rings Satisfying a Strict Identity
• Characterizing homomorphisms, derivations and multipliers in rings with idempotents

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