On skew derivations in semiprime rings
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Publication:2637767
DOI10.1007/s10468-012-9370-2zbMath1296.16051OpenAlexW2059788915MaRDI QIDQ2637767
Publication date: 14 February 2014
Published in: Algebras and Representation Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10468-012-9370-2
commutativity theoremssemiprime ringsskew derivationsadditive mapsstrong commutativity-preserving maps
Prime and semiprime associative rings (16N60) Generalizations of commutativity (associative rings and algebras) (16U80) Derivations, actions of Lie algebras (16W25) Center, normalizer (invariant elements) (associative rings and algebras) (16U70)
Related Items (14)
\(b\)-generalized skew derivations on multilinear polynomials in prime rings ⋮ Involution on prime rings with endomorphisms ⋮ An Engel condition with skew derivations for one-sided ideals ⋮ The commutativity of prime \(\Gamma\)-rings with generalized skew derivations ⋮ Central values involving generalized skew derivations and polynomials in prime rings ⋮ Strong 3-commutativity preserving maps on prime rings ⋮ Strong commutativity preserving skew derivations in semiprime rings ⋮ An Engel condition with X-generalized skew derivations on Lie ideals ⋮ Strong commutativity preserving maps on subsets of matrices that are not closed under addition ⋮ Generalized skew derivations cocentralizing multilinear polynomials ⋮ On centrally-extended maps on rings. ⋮ Generalized skew derivations with nilpotent values on left ideals of rings and Banach algebras ⋮ Power-commuting skew derivations on Lie ideals. ⋮ Ad-nilpotent elements of skew index in semiprime rings with involution
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