Some results involving \(P\)-derivations and prime ideals in rings

DOI10.1007/S11565-022-00453-2OpenAlexW4307649134MaRDI QIDQ6056660

Gurninder S. Sandhu, A. Boua, Nadeem ur Rehman

Publication date: 30 October 2023

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

Full work available at URL: https://doi.org/10.1007/s11565-022-00453-2

zbMATH Keywords

prime idealfactor ring\(P\)-derivationgeneralized \(P\)-derivation

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Generalizations of commutativity (associative rings and algebras) (16U80) Derivations, actions of Lie algebras (16W25)

Cites Work

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• Generalized derivations acting as a homomorphism or anti-homomorphism in semiprime rings.
• Rings in which derivations satisfy certain algebraic conditions
• A generalization of Posner's theorem on derivations in rings
• On generalized derivations involving prime ideals
• Multiplicative (generalized)-derivations of prime rings that act as \(n\)-(anti)homomorphisms
• On derivations involving prime ideals and commutativity in rings
• Prime ideals and generalized derivations with central values on rings
• Semiderivations of Prime Rings
• On generalized derivations as homomorphisms and anti-homomorphisms

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