Ore extensions of principally quasi-Baer rings

Details Ore extensions of principally quasi-Baer rings Ore extensions of principally quasi-Baer rings

2007-09-04

arxiv.org/abs/0709.0325v2

Mathematics

Rings and Algebras

11 pages

Scientific paper

Let $R$ be a ring and $(\sigma,\delta)$ a quasi-derivation of $R$. In this
paper, we show that if $R$ is an $(\sigma,\delta)$-skew Armendariz ring and
satisfies the condition $(\mathcal{C_{\sigma}})$, then $R$ is right p.q.-Baer
if and only if the Ore extension $R[x;\sigma,\delta]$ is right p.q.-Baer. As a
consequence we obtain a generalization of \cite{hong/2000}.

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