On Lie ideals with generalized \((\alpha, \alpha)\)-derivations in prime rings

DOI10.1007/s12215-018-0329-yzbMath1401.16047OpenAlexW2788383596MaRDI QIDQ1632029

Rajendra K. Sharma, Shailesh Kumar Tiwari

Publication date: 12 December 2018

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-018-0329-y

zbMATH Keywords

automorphismprime ringgeneralized \((\alpha, \alpha)\)-derivationsquare closed Lie ideal

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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• On multiplicative (generalized)-derivations in prime and semiprime rings.
• Multiplicative (generalized)-derivation in semiprime rings
• Generalized derivations acting as a homomorphism or anti-homomorphism in semiprime rings.
• Some commutativity theorems for rings with generalized derivations.
• Lie ideals and derivations of prime rings
• On Generalized (α,β)-Derivations in Prime Rings
• SOME COMMUTATIVITY THEOREMS CONCERNING ADDITIVE MAPPINGS AND DERIVATIONS ON SEMIPRIME RINGS
• Derivations in Prime Rings
• On the distance of the composition of two derivations to the generalized derivations