Lie ideals and centralizing generalized derivations of rings with involution.

DOI10.1007/S13366-011-0058-2zbMath1227.16024OpenAlexW1978973903WikidataQ115375990 ScholiaQ115375990MaRDI QIDQ717834

Lahcen Oukhtite

Publication date: 7 October 2011

Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13366-011-0058-2

zbMATH Keywords

commutativity theoremsLie idealsgeneralized derivationsrings with involutionleft multiplierscentralizing derivations

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Generalizations of commutativity (associative rings and algebras) (16U80) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Derivations, actions of Lie algebras (16W25) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Cites Work

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• Commutativity conditions on derivations and Lie ideals in \(\sigma\)-prime rings.
• Derivations in Prime Rings
• Centralizing Mappings of Semiprime Rings
• \sigma-Lie ideals with derivations as homomorphisms and anti-homomorphisms
• Lie ideals and derivations of \sigma-prime rings

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