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arxiv: 1611.01562 · v1 · pith:JHLB2CAGnew · submitted 2016-11-04 · 🧮 math.RA · math.OA

σ-PBW Extensions of Skew Armendariz Rings

classification 🧮 math.RA math.OA
keywords extensionsarmendarizbaerringssigmaskewapplicationestablished
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The aim of this paper is to investigate a general notion of $\sigma$-PBW extensions over Armendariz rings. As an application, the properties of being Baer, quasi-Baer, p.p. and p.q.-Baer are established for these extensions. We generalize several results in the literature for Ore extensions of injective type and skew PBW extensions.

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