Commutativity preserving mappings on semiprime rings

DOI10.1080/00927879708825851zbMath0865.16015OpenAlexW2118662107MaRDI QIDQ3123202

Martin Mathieu, Ralf Banning

Publication date: 7 July 1997

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927879708825851

zbMATH Keywords

centersemiprime ringsprime ringsLie derivationscommutativity preserving mapsLie isomorphismscommuting traces of biadditive mapsbijective additive maps preserving commutativity

Mathematics Subject Classification ID

Prime and semiprime associative rings (16N60) Automorphisms and endomorphisms (16W20) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Automorphisms, derivations, other operators for Lie algebras and super algebras (17B40) Derivations, actions of Lie algebras (16W25)

Related Items (22)

FUNCTIONAL IDENTITIES REVISED: THE FRACTIONAL AND THE STRONG DEGREE ⋮ Functional Identities in Jordan Algebras: Associating Traces and Lie Triple Isomorphisms ⋮ Lie Isomorphisms onH*-Algebras ⋮ Commuting Traces of Biadditive Maps Revisited ⋮ Centralizing traces and Lie triple isomorphisms on generalized matrix algebras ⋮ Commutativity-preserving maps on Lie ideals of prime algebras. ⋮ Functional identities and their applications ⋮ Strong commutativity preserving maps on rings. ⋮ On Herstein’s Lie map conjectures, I ⋮ MAPS CHARACTERIZED BY ACTION ON LIE ZERO PRODUCTS ⋮ Lie derivations on Banach algebras ⋮ Nonlinear maps preserving mixed product on factors ⋮ Strong commutativity preserving maps on Lie ideals. ⋮ On functional identities and commuting additive mappings ⋮ Commuting traces and commutativity preserving maps on triangular algebras. ⋮ Unnamed Item ⋮ Nonlinear maps preserving the second mixed Lie triple products on factor von Neumann algebras ⋮ On functional identities in prime rings with involution ⋮ Nonlinear maps preserving mixed Lie triple products on factor von Neumann algebras ⋮ Unnamed Item ⋮ On commuting additive mappings on semiprime rings ⋮ On functional identities andd-free subsets of rings, I

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