Generalized Derivations with Power-Central Values on Multilinear Polynomials

DOI10.1142/S1005386706000344zbMath1096.16015OpenAlexW2053577584MaRDI QIDQ5483335

Yu Wang

Publication date: 14 August 2006

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

Full work available at URL: https://doi.org/10.1142/s1005386706000344

zbMATH Keywords

prime ringsLie idealsgeneralized derivationsextended centroidsmultilinear polynomialsright Utumi quotient rings

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Derivations, actions of Lie algebras (16W25) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Related Items (10)

Generalized derivations with power central values on multilinear polynomials on right ideals. ⋮ Generalized skew derivations and generalization of commuting maps on prime rings ⋮ Generalized skew-derivations as generalizations of Jordan homomorphisms in prime rings ⋮ Generalized derivations acting on Lie ideals in prime rings and Banach algebras ⋮ Generalized skew-derivations acting on multilinear polynomial in prime rings ⋮ Local Generalized Derivations in Prime Rings with Idempotents ⋮ Skew Derivations with Nilpotent Values in Rings and Banach Algebras ⋮ Subsets with Generalized Derivations Having Nilpotent Values on Lie Ideals ⋮ Annihilator Conditions with Generalized Derivations on Multilinear Polynomials ⋮ Rather large subsets and vanishing generalized derivations on multilinear polynomials

Cites Work

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• A note on derivations with power central values on a Lie ideal
• Differential identities of prime rings
• Prime nonassociative algebras
• Prime rings satisfying a generalized polynomial identity
• IDENTITIES WITH GENERALIZED DERIVATIONS
• Annihilators of power values of derivations in prime rings
• Periodic and Nil Polynomials in Rings
• Derivations of prime rings having power central values
• Generalized derivations of left faithful rings
• Generalized derivations in rings^*

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