On quasi-Baer rings of Ore extensions

Mathematics – Rings and Algebras

Scientific paper

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8 pages

Scientific paper

Let $R$ be a ring and $S=R[x;\sigma,\delta]$ its Ore extension. We prove
under some conditions that $R$ is a quasi-Baer ring if and only if the Ore
extension $R[x;\sigma,\delta]$ is a quasi-Baer ring. Examples are provided to
illustrate and delimit our results.

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