Generalized g-derivations on prime rings

DOI10.1142/S0219498823500378OpenAlexW3209540727MaRDI QIDQ5879278

Vincenzo De Filippis, Shailesh Kumar Tiwari, Sanjay Kumar Singh

Publication date: 28 February 2023

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

Full work available at URL: https://doi.org/10.1142/s0219498823500378

zbMATH Keywords

commuting functionsprime ringUtumi ring of quotients\(g\)-derivationgeneralized \(g\)-derivation

Mathematics Subject Classification ID

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

Cites Work

• On multiplicative (generalized)-derivations in prime and semiprime rings.
• Identities with a single skew derivation.
• Derivations cocentralizing multilinear polynomials on left ideals.
• Some commutativity theorems for rings with generalized derivations.
• Generalized skew derivations with annihilating Engel conditions.
• An Engel condition with skew derivations.
• Differential identities with automorphisms and antiautomorphisms. I
• Derivations cocentralizing multilinear polynomials
• On the identity \(h(x)=af(x)+g(x)b\).
• On one sided ideals of a semiprime ring with generalized derivations.
• Annihilators of derivations with Engel conditions on Lie ideals.
• Generalized Skew Derivations with Power Central Values on Lie Ideals
• Derivations in Prime Rings
• Generalized derivations of left faithful rings
• On Certain Pairs of Functions of Semiprime Rings
• DERIVATIONS WITH ENGEL AND ANNIHILATOR CONDITIONS ON MULTILINEAR POLYNOMIALS
• Generalized skew derivations with nilpotent values on Lie ideals.
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