Product of generalized skew derivations on Lie ideals

DOI10.1080/00927872.2021.1887204zbMath1483.16048OpenAlexW3135054880MaRDI QIDQ5156125

Vincenzo De Filippis

Publication date: 14 October 2021

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

Full work available at URL: https://doi.org/10.1080/00927872.2021.1887204

zbMATH Keywords

prime ringgeneralized polynomial identitygeneralized skew derivation

Mathematics Subject Classification ID

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

Cites Work

• Generalized derivations acting on multilinear polynomials in prime rings and Banach algebras.
• Identities with a single skew derivation.
• A product of two generalized derivations on polynomials in prime rings.
• Differential identities with automorphisms and antiautomorphisms. II
• Differential identities of prime rings
• Differential identities with automorphisms and antiautomorphisms. I
• Prime nonassociative algebras
• Derivations cocentralizing polynomials
• On the identity \(h(x)=af(x)+g(x)b\).
• Centralizers of generalized derivations on multilinear polynomials in prime rings.
• Identities with skew derivations
• Prime rings satisfying a generalized polynomial identity
• Strong commutativity and Engel condition preserving maps in prime and semiprime rings
• Prime Rings with Generalized Derivations on Right Ideals
• Gpis Having Coefficients in Utumi Quotient Rings
• Nil and Power-Central Polynomials in Rings
• Generalized derivations of left faithful rings
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