Strong commutativity preserving generalized derivations on Lie ideals
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Publication:3090735
DOI10.1080/03081087.2010.535819zbMath1230.16033OpenAlexW2012010454WikidataQ115299852 ScholiaQ115299852MaRDI QIDQ3090735
Publication date: 1 September 2011
Published in: Linear and Multilinear Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/03081087.2010.535819
Prime and semiprime associative rings (16N60) Other kinds of identities (generalized polynomial, rational, involution) (16R50) Generalizations of commutativity (associative rings and algebras) (16U80) Derivations, actions of Lie algebras (16W25)
Related Items (19)
Involution on prime rings with endomorphisms ⋮ Nonadditive strong commutativity preserving maps on rank-k matrices over division rings ⋮ On skew derivations in semiprime rings ⋮ Some commutativity criteria for prime rings with involution involving symmetric and skew symmetric elements ⋮ Unnamed Item ⋮ Central values involving generalized skew derivations and polynomials in prime rings ⋮ On Certain $$*$$-differential Identities in Prime Rings with Involution ⋮ Jordan Product Preserving Generalized Skew Derivations on Lie Ideals ⋮ Nonlinear strong commutativity preserving maps on skew elements of prime rings with involution. ⋮ Quotient rings satisfying some identities ⋮ Results on various derivations and Posner’s theorem in prime ideals of rings ⋮ Strong commutativity preserving additive maps on rank k triangular matrices ⋮ Unnamed Item ⋮ Injective strong commutativity preservers on \(\mathcal{T}_{\infty}(F)\) ⋮ Strong commutativity preserving maps on subsets of matrices that are not closed under addition ⋮ Automorphisms and generalized skew derivations which are strong commutativity preserving on polynomials in prime and semiprime rings ⋮ Strong commutativity preserving generalized derivations on multilinear polynomials ⋮ Generalized skew derivations with nilpotent values on left ideals of rings and Banach algebras ⋮ Strong commutativity and Engel condition preserving maps in prime and semiprime rings
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