Revista de la
Unión Matemática Argentina
A notion of compatibility for Armendariz and Baer properties over skew PBW extensions
Armando Reyes, Héctor Suárez
Volume 59, no. 1 (2018), pp. 157–178


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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 (universal enveloping algebras, diffusion algebras, and others).