Differential identities of lie ideals or large right ideals in prime rings

DOI10.1080/00927879908826462zbMath0924.16017OpenAlexW2074345067MaRDI QIDQ4237118

Tsiu-Kwen Lee

Publication date: 20 September 1999

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879908826462

zbMATH Keywords

prime ringsLie idealsdifferential identitiesgeneralized polynomial identitieslarge right ideals

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Rings with involution; Lie, Jordan and other nonassociative structures (16W10)

Related Items (16)

A NOTE ON DERIVATIONS, ADDITIVE SUBGROUPS, AND LIE IDEALS OF PRIME RINGS ⋮ On Lie Automorphisms, Additive Subgroups, and Lie Ideals of Prime Rings ⋮ FINITE PRODUCTS OF DERIVATIONS IN PRIME RINGS ⋮ Some generalized identities on prime rings and their application for the solution of annihilating and centralizing problems ⋮ A note on generalized Lie derivations of prime rings ⋮ Prime and semiprime rings with \(n\)-commuting generalized skew derivations ⋮ IDENTITIES WITH GENERALIZED DERIVATIONS ⋮ Generalized skew derivations with nilpotent values on Lie ideals. ⋮ Finiteness properties of differential polynomials. ⋮ Strong commutativity preserving generalized derivations on Lie ideals ⋮ Generalized Skew Derivations with Power Central Values on Lie Ideals ⋮ Unnamed Item ⋮ On Prime and Semiprime Rings with Derivations ⋮ Annihilators of derivations with Engel conditions on Lie ideals. ⋮ Linear identities and derivations ⋮ Generalized differential identities of (semi-)prime rings.

Cites Work

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• A note on derivations with power central values on a Lie ideal
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• A Note on Derivations II
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• Derivations with values satisfying a right or left S_2n–polynomial
• Semiprime Rings with Hypercentral Derivations
• Left Annihilators Characterized by GPIS
• A result on derivations
• On a new proof of Litoff's theorem

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