Abstract

LOUZARI, Mohamed  and  REYES, Armando. Minimal prime ideals of skew PBW extensions over 2-primal compatible rings. Rev.colomb.mat. [online]. 2020, vol.54, n.1, pp.39-63. ISSN 0034-7426.  https://doi.org/10.15446/recolma.v54n1.89788.

In this paper, we characterize the units of skew PBW extensions over compatible rings. With this aim, we recall the transfer of the property of being 2-primal for these extensions. As a consequence of our treatment, the results established here generalize those corresponding for commutative rings and Ore extensions of injective type. In this way, we present new results for several noncommutative rings of polynomial type not considered before in the literature.

Keywords : Minimal prime ideal; 2-primal ring; unit; skew PBW extension.

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