2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/73405Let $R$ be a ring, $σ$ an injective endomorphism of $R$ and $δ$ a $σ$-derivation of $R$. We prove that if $R$ is semiprime left Goldie then the same holds for the Ore extension $R[x;σ,δ]$ and both rings have the same left uniform dimension.Rings and Algebras16S32text