2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/218662Let $R$ 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.$7 pagesRings and Algebras16N60, 16U80text