Strong commutativity preserving maps on Lie ideals of semiprime rings

dc.creatorOukhtite, L.
dc.creatorSalhi, S.
dc.creatorTaoufiq, L.
dc.date2009-02-04
dc.date.accessioned2026-07-07T12:38:10Z
dc.date.available2026-07-07T12:38:10Z
dc.descriptionLet $R$ be a 2-torsion free semiprime ring and $U$ a nonzero square closed Lie ideal of $R$. In this paper it is shown that if $f$ is either an endomorphism or an antihomomorphism of $R$ such that $f(U)=U,$ then $f$ is strong commutativity preserving on $U$ if and only if $f$ is centralizing on $U.$
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/0902.0808
dc.identifierhttp://arxiv.org/abs/0902.0808
dc.identifierBeitrage zur algebra und geometrie 49 (2) (2008) 441--447
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/218662
dc.subjectRings and Algebras
dc.subject16N60, 16U80
dc.titleStrong commutativity preserving maps on Lie ideals of semiprime rings
dc.typetext

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