Hypercentralizing generalized skew derivations on left ideals in prime rings.

DOI10.1007/S00605-013-0486-1zbMath1294.16032OpenAlexW1969097616MaRDI QIDQ2447917

Vincenzo De Filippis

Publication date: 29 April 2014

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-013-0486-1

zbMATH Keywords

automorphismsprime ringsgeneralized derivationsadditive mapsgeneralized skew derivationsEngel-type conditions

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Derivations, actions of Lie algebras (16W25)

Related Items (12)

\(b\)-generalized skew derivations on multilinear polynomials in prime rings ⋮ An Engel condition with skew derivations for one-sided ideals ⋮ Nonadditive strong commutativity preserving maps on rank-k matrices over division rings ⋮ The commutativity of prime \(\Gamma\)-rings with generalized skew derivations ⋮ Generalized derivations preserving quasinilpotent elements in Banach algebras ⋮ On X-generalized skew derivations and their applications ⋮ An Engel condition withb-generalized derivations ⋮ An Engel condition with generalized skew derivations on multilinear polynomials ⋮ An Engel condition with X-generalized skew derivations on Lie ideals ⋮ The structure of \(n\)-commuting additive maps on Lie ideals of prime rings ⋮ Centralizers of \(X\)-generalized skew derivations on multilinear polynomials in prime rings ⋮ An Engel condition with b-generalized derivations for Lie ideals

Cites Work

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• Identities with a single skew derivation.
• Differential identities with automorphisms and antiautomorphisms. II
• Generalized skew derivations with annihilating Engel conditions.
• An Engel condition with skew derivations.
• Differential identities with automorphisms and antiautomorphisms. I
• Generalized identities with automorphisms
• Generalized skew derivations characterized by acting on zero products.
• On the identity \(h(x)=af(x)+g(x)b\).
• Prime rings satisfying a generalized polynomial identity
• Derivations in Prime Rings
• Generalized Derivations with Engel Conditions on One-Sided Ideals
• A RESULT ON GENERALIZED DERIVATIONS WITH ENGEL CONDITIONS ON ONE-SIDED IDEALS
• Gpis Having Coefficients in Utumi Quotient Rings
• Semiprime Rings with Hypercentral Derivations
• On a new proof of Litoff's theorem
• Generalized skew derivations with nilpotent values on Lie ideals.

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