%0 Journal Article
%T Goldie conditions for Ore extensions over semiprime rings
%A A. Leroy
%A J. Matczuk
%J Mathematics
%D 2004
%I arXiv
%X Let $R$ be a ring, $\sigma$ an injective endomorphism of $R$ and $\delta$ a $\sigma$-derivation of $R$. We prove that if $R$ is semiprime left Goldie then the same holds for the Ore extension $R[x;\sigma,\delta]$ and both rings have the same left uniform dimension.
%U http://arxiv.org/abs/math/0411619v1