The McCoy Condition on Skew Poincaré–Birkhoff–Witt Extensions

Abstract

In this paper, we study the notion of McCoy ring over the class of non-commutative rings of polynomial type known as skew Poincaré–Birkhoff–Witt extensions. As a consequence, we generalize several results about this notion considered in the literature for commutative rings and Ore extensions.

Keywords

McCoy ring / Reversible ring / Semicommutative ring / Zip ring / Skew Poincaré–Birkhoff–Witt extension

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Funding

Universidad Nacional de Colombia(30366)