Derivations with Nilpotent Values on Lie Ideals

DOI10.2307/2047689zbMath0694.16027OpenAlexW4254749122MaRDI QIDQ3469245

Charles Lanski

Publication date: 1990

Full work available at URL: https://doi.org/10.2307/2047689

zbMATH Keywords

centralderivationnilpotentLie idealcommutativesubdirect sum

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Structure and classification for modules, bimodules and ideals (except as in 16Gxx), direct sum decomposition and cancellation in associative algebras) (16D70) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)

Related Items (20)

Commutators with idempotent values on multilinear polynomials in prime rings ⋮ An Engel condition with two generalized derivations on Lie ideals of prime rings ⋮ Кільця з нільпотетними диференціюваннями індексів ≤ 2 ⋮ Derivations with annihilator conditions on multilinear polynomials ⋮ Semiderivations with power values on Lie ideals in prime rings. ⋮ Prime Rings with Generalized Derivations and Power Values on Lie Ideals ⋮ On Lie ideals and automorphisms in prime rings ⋮ An equation concerning power values of generalized skew derivations and annihilating conditions on Lie ideals ⋮ A result on derivations ⋮ A result concerning nilpotent values with generalized skew derivations on Lie ideals ⋮ Notes on generalized derivations and partial generalized automorphisms in prime rings ⋮ The structure of \(n\)-commuting additive maps on Lie ideals of prime rings ⋮ Derivations with algebraic values on lie ideals ⋮ Generalized skew derivations with nilpotent values on Lie ideals. ⋮ On $m$-commuting mappings with skew derivations in prime rings ⋮ An Engel condition with skew derivations. ⋮ Unnamed Item ⋮ Annihilators of derivations with Engel conditions on Lie ideals. ⋮ An Engel condition with b-generalized derivations for Lie ideals ⋮ Annihilators of power values of derivations on Lie ideals of prime rings

Cites Work

• On the centralizers of ideals and nil derivations
• Center-like elements in prime rings
• Derivations with nilpotent values
• Invariant subrings of a certain kind
• Lie structure of prime rings of characteristic 2
• Unnamed Item
• Unnamed Item

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