Commutativity of \(*\)-prime rings with generalized derivations.

DOI10.4171/RSMUP/125-5zbMath1239.16034OpenAlexW1997577914MaRDI QIDQ641038

Almas Khan, Mohammad Ashraf

Publication date: 21 October 2011

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/239315

zbMATH Keywords

commutativity theoremsgeneralized derivationsrings with involution\(*\)-prime rings\(*\)-Lie ideals

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) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Related Items (10)

Lie ideals and \((\alpha,\beta)\)-derivations of \(*\)-prime rings. ⋮ Structure of a quotient ring R/P and its relation with generalized derivations of R ⋮ Commutativity theorems for *-prime rings with differential identities on Jordan ideals. ⋮ Notes on generalized derivations and partial generalized automorphisms in prime rings ⋮ Certain commutativity criteria for rings with involution involving generalized derivations ⋮ Some results on generalized \(\left(\alpha, \beta\right)\)-derivations in \(\ast\)-prime rings ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ \((\sigma,\tau)\)-\(\star\)-Jordan ideals in \(\star\)-prime rings

Cites Work

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• Some commutativity theorems for rings with generalized derivations.
• Lie ideals and derivations of prime rings
• On commutativity of rings with derivations
• On generalized derivations of \(\sigma\)-prime ring.
• On the distance of the composition of two derivations to the generalized derivations
• On commutativity of sigma-prime rings
• Lie ideals and derivations of \sigma-prime rings

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