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A notion of compatibility for Armendariz and Baer properties over skew PBW extensions

A notion of compatibility for Armendariz and Baer properties over skew PBW extensions

In this paper we are interested in studying the properties of Armendariz, Baer, quasi-Baer, p.p. and p.q.-Baer over skew PBW extensions. Using a notion of compatibility, we generalize several propositions established for Ore extensions and present new results for several noncommutative rings which can not be expressed as Ore extensions …