Generalized skew derivations with nilpotent values on left ideals of rings and Banach algebras
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Publication:5495732
DOI10.1080/03081087.2013.780604zbMath1314.16031OpenAlexW1998563361MaRDI QIDQ5495732
Pao-Kuei Liau, Hung-Yuan Chen, Cheng-Kai Liu
Publication date: 7 August 2014
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081087.2013.780604
Prime and semiprime associative rings (16N60) Commutators, derivations, elementary operators, etc. (47B47) Linear operators on Banach algebras (47B48) Derivations, actions of Lie algebras (16W25)
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Certain functional identities involving a pair of generalized skew derivations with nilpotent values on Lie ideals, \(b\)-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, An Engel condition withb-generalized derivations, Triple derivable maps on prime algebras with involution, An Engel condition with two generalized derivations in prime rings, The structure of triple homomorphisms onto prime algebras, An Engel condition with b-generalized derivations for Lie ideals
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