$σ$-PBW Extensions of Skew Armendariz Rings

Published 4 Nov 2016 in math.RA and math.OA | (1611.01562v1)

Abstract: 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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