Strong commutativity preserving maps in prime rings with involution.

DOI10.1016/j.laa.2009.06.036zbMath1187.16035OpenAlexW2038788525MaRDI QIDQ1044580

Cheng-Kai Liu, Jer-Shyong Lin

Publication date: 18 December 2009

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2009.06.036

zbMATH Keywords

involutionsprime ringssymmetric elementsfunctional identitiesadditive mapscommutativity preserving maps

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Generalizations of commutativity (associative rings and algebras) (16U80) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Functional identities (associative rings and algebras) (16R60)

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Biderivations and strong commutativity-preserving maps on parabolic subalgebras of simple Lie algebras ⋮ Involution on prime rings with endomorphisms ⋮ On skew derivations in semiprime rings ⋮ Some commutativity criteria for prime rings with involution involving symmetric and skew symmetric elements ⋮ Unnamed Item ⋮ On Certain $$*$$-differential Identities in Prime Rings with Involution ⋮ 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 ⋮ Strong commutativity preserving generalized derivations on right ideals. ⋮ Strong commutativity preserving maps on rings. ⋮ Unnamed Item ⋮ Strong commutativity preserving maps on subsets of matrices that are not closed under addition ⋮ Strong commutativity preserving generalized derivations on Lie ideals ⋮ Strong commutativity preserving maps of strictly triangular matrix Lie algebras ⋮ Strong commutativity and Engel condition preserving maps in prime and semiprime rings ⋮ Unnamed Item

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