Generalized skew derivations on semiprime rings

DOI10.1080/03081087.2014.909813zbMath1315.16038OpenAlexW1976563458MaRDI QIDQ5175370

Vincenzo De Filippis

Publication date: 20 February 2015

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081087.2014.909813

zbMATH Keywords

semiprime ringsfunctional identitiesadditive mapsgeneralized skew derivationscentral ideals

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Derivations, actions of Lie algebras (16W25) Functional identities (associative rings and algebras) (16R60)

Related Items (6)

Nonadditive strong commutativity preserving maps on rank-k matrices over division rings ⋮ Generalized derivations preserving quasinilpotent elements in Banach algebras ⋮ Categorical properties of generalized σ-derivations on modules ⋮ An Engel condition withb-generalized derivations ⋮ \(m\)-potent commutators of skew derivations on Lie ideals ⋮ An Engel condition with b-generalized derivations for Lie ideals

Cites Work

• Identities with a single skew derivation.
• Differential identities with automorphisms and antiautomorphisms. I
• Prime nonassociative algebras
• Generalized skew derivations characterized by acting on zero products.
• Prime rings satisfying a generalized polynomial identity
• Generalized Derivations of Rings and Banach Algebras
• GENERALIZED DERIVATIONS ON SEMIPRIME RINGS
• Generalized derivations of left faithful rings
• Generalized derivations in rings^*
• Generalized skew derivations with nilpotent values on Lie ideals.

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