$\sigma$-PBW Extensions of Skew Armendariz Rings
Armando Reyes, H\'ector Su\'arez

TL;DR
This paper explores $\sigma$-PBW extensions over Armendariz rings, establishing properties like Baer and p.q.-Baer, and generalizing results from Ore and skew PBW extensions.
Contribution
It introduces a general framework for $\sigma$-PBW extensions over Armendariz rings and extends known properties to this broader context.
Findings
$\sigma$-PBW extensions are Baer, quasi-Baer, p.p., and p.q.-Baer.
Generalizes results from Ore extensions of injective type.
Provides new insights into the structure of skew PBW extensions.
Abstract
The aim of this paper is to investigate a general notion of -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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Taxonomy
TopicsRings, Modules, and Algebras · Advanced Topics in Algebra · Axon Guidance and Neuronal Signaling
