Generalized derivations as Jordan homomorphisms on Lie ideals and right ideals.

DOI10.1007/S10114-009-7343-0zbMath1192.16042OpenAlexW2117437457MaRDI QIDQ2266842

Vincenzo De Filippis

Publication date: 26 February 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-009-7343-0

zbMATH Keywords

prime ringsLie idealsgeneralized derivationsdifferential identitiesJordan homomorphisms

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Derivations, actions of Lie algebras (16W25)

Related Items (9)

Unnamed Item ⋮ Generalized Derivations as a Generalization of Jordan Homomorphisms Acting on Lie Ideals and Right Ideals ⋮ Compositions, derivations and polynomials. ⋮ Generalized skew-derivations as generalizations of Jordan homomorphisms in prime rings ⋮ Generalized derivations acting on multilinear polynomials as Jordan homomorphisms ⋮ Jordan homoderivation behavior of generalized derivations in prime rings ⋮ Generalized skew-derivations acting on multilinear polynomial in prime rings ⋮ Generalized skew-derivations and generalization of homomorphism maps in prime rings ⋮ Unnamed Item

Cites Work

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• Generalized derivations in rings^*
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