Generalized Skew Derivations with Power Central Values on Lie Ideals

DOI10.1080/00927872.2010.480957zbMath1242.16038OpenAlexW2163970471MaRDI QIDQ3094835

Jui-Chi Chang

Publication date: 27 October 2011

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

Full work available at URL: https://doi.org/10.1080/00927872.2010.480957

zbMATH Keywords

prime ringsLie idealsgeneralized derivationsadditive maps

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Derivations, actions of Lie algebras (16W25) Functional identities (associative rings and algebras) (16R60)

Related Items

Certain functional identities involving a pair of generalized skew derivations with nilpotent values on Lie ideals ⋮ Centralizers of generalized skew derivations on multilinear polynomials ⋮ \(b\)-generalized skew derivations on multilinear polynomials in prime rings ⋮ Power values of generalized skew derivations with annihilator conditions on Lie ideals ⋮ On skew derivations in semiprime rings ⋮ Identities with generalized skew derivations on Lie ideals. ⋮ Generalized derivations acting on Lie ideals in prime rings and Banach algebras ⋮ An equation concerning power values of generalized skew derivations and annihilating conditions on Lie ideals ⋮ Unnamed Item ⋮ An Engel condition with X-generalized skew derivations on Lie ideals ⋮ Skew Derivations with Nilpotent Values in Rings and Banach Algebras ⋮ Identities with Product of Generalized Skew Derivations on Multilinear Polynomials ⋮ Power-central values and Engel conditions in prime rings with generalized skew derivations ⋮ Generalized skew derivations cocentralizing multilinear polynomials ⋮ b-GENERALIZED DERIVATIONS OF SEMIPRIME RINGS HAVING NILPOTENT VALUES ⋮ Generalized skew derivations with nilpotent values on left ideals of rings and Banach algebras ⋮ Generalized g-derivations on prime rings

Cites Work

• Unnamed Item
• Identities with a single skew derivation.
• Differential identities with automorphisms and antiautomorphisms. II
• Center-like elements in prime rings
• Derivations with nilpotent values
• Differential identities with automorphisms and antiautomorphisms. I
• Prime rings satisfying a generalized polynomial identity
• Derivations of prime rings having power central values
• Differential identities of lie ideals or large right ideals in prime rings
• Generalized derivations of left faithful rings

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