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arXiv · 0709.0325

Ore extensions of principally quasi-Baer rings

Mohamed Louzari·L'moufadal Ben Yakoub
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Abstract

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

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BibTeXRIS

Mohamed Louzari, L'moufadal Ben Yakoub. 2009-02-22. Ore extensions of principally quasi-Baer rings. https://arxiv.org/abs/0709.0325

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