b′-Generalized skew derivations acting as a Jordan derivation on multilinear polynomials in prime rings

DOI10.1080/00927872.2023.2168915OpenAlexW4319790451MaRDI QIDQ5887185

Giovanni Scudo, Ashutosh Pandey

Publication date: 17 April 2023

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

Full work available at URL: https://doi.org/10.1080/00927872.2023.2168915

zbMATH Keywords

extended centroidUtumi quotient ringmultilinear polynomials\(b'\)-generalized skew derivations

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Derivations, actions of Lie algebras (16W25)

Cites Work

• Identities with a single skew derivation.
• Differential identities with automorphisms and antiautomorphisms. II
• \(b\)-generalized skew derivations on multilinear polynomials in prime rings
• Differential identities with automorphisms and antiautomorphisms. I
• Prime nonassociative algebras
• On the identity \(h(x)=af(x)+g(x)b\).
• Identities with skew derivations
• Centralizing mappings and derivations in prime rings
• Prime rings satisfying a generalized polynomial identity
• Actions of Generalized Derivations on Multilinear Polynomials in Prime Rings
• Vanishing Derivations and Centralizers of Generalized Derivations on Multilinear Polynomials
• Derivations in Prime Rings
• Gpis Having Coefficients in Utumi Quotient Rings
• Nil and Power-Central Polynomials in Rings
• An Engel condition with X-generalized skew derivations on Lie ideals
• Generalized derivations acting on multilinear polynomials in prime rings
• Generalized Skew Derivations and Nilpotent Values on Lie Ideals
• An Engel condition with two generalized derivations in prime rings
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