Annihilator on prime rings admitting multiplicative generalized \(g\)-derivations

DOI10.1007/S11565-024-00510-YMaRDI QIDQ6630761

Avdhesh Kumar Mishra, Kapil Kumar

Publication date: 31 October 2024

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

zbMATH Keywords

prime 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

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• Multiplicative (generalized)-derivation in semiprime rings
• Identities with a single skew derivation.
• Derivations cocentralizing multilinear polynomials on left ideals.
• Generalized skew derivations with annihilating Engel conditions.
• An Engel condition with skew derivations.
• Derivations cocentralizing multilinear polynomials
• On the identity \(h(x)=af(x)+g(x)b\).
• Annihilators of derivations with Engel conditions on Lie ideals.
• Generalized Skew Derivations with Power Central Values on Lie Ideals
• Derivations in Prime Rings
• DERIVATIONS WITH ENGEL AND ANNIHILATOR CONDITIONS ON MULTILINEAR POLYNOMIALS
• Power Values of Derivations with Annihilator Conditions on Lie Ideals in Prime Rings
• Generalized g-derivations on prime rings
• Generalized skew derivations with nilpotent values on Lie ideals.

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