Commutativity conditions on derivations and Lie ideals in \(\sigma\)-prime rings.

zbMath1188.16035arXiv0907.2266MaRDI QIDQ846771

N. E. Zubov

Publication date: 9 February 2010

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

Full work available at URL: https://arxiv.org/abs/0907.2266

zbMATH Keywords

commutativity theoremsLie idealscentralizing derivations\(\sigma\)-prime rings

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)

Related Items (6)

Commutativity theorems for *-prime rings with differential identities on Jordan ideals. ⋮ Posner's second theorem for Jordan ideals in rings with involution. ⋮ Generalized \((\alpha ,\beta )\)-derivations on Jordan ideals in \(*\)-prime rings. ⋮ Lie ideals and centralizing generalized derivations of rings with involution. ⋮ Unnamed Item ⋮ Unnamed Item

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