Abstract

REYES, ARMANDO  and  SUAREZ, HÉCTOR. Armendariz property for skew PBW extensions and their classical ring of quotients. Integración - UIS [online]. 2016, vol.34, n.2, pp.147-168. ISSN 0120-419X.  https://doi.org/10.18273/revint.v34n2-2016004.

Abstract. We consider a first approach to the notion of Armendariz ring for a skew Poincaré-Birkhoff-Witt (PBW for short) extension, and its classical ring of quotients. As an immediate application of this treatment, we study the properties Baer, quasi-Baer, p.p. and p.q.-Baer rings for these extensions. In this way, we generalize several results in the literature concerning Ore extensions and skew PBW extensions.

Keywords : Armendariz; Baer; quasi-Baer; p.p. and p.q-rings; skew Poincaré-Birkhoff-Witt extensions.

        · abstract in Spanish     · text in English     · English ( pdf )