Goldie conditions for Ore extensions over semiprime rings

Details Goldie conditions for Ore extensions over semiprime rings Goldie conditions for Ore extensions over semiprime rings

2004-11-27

arxiv.org/abs/math/0411619v1

Mathematics

Rings and Algebras

Scientific paper

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.

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