The McCoy Condition on Skew Poincaré–Birkhoff–Witt Extensions

Armando Reyes; Camilo Rodríguez

doi:10.1007/s40304-019-00184-5

Communications in Mathematics and Statistics ›› 2021, Vol. 9 ›› Issue (1) : 1 -21. DOI: 10.1007/s40304-019-00184-5

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The McCoy Condition on Skew Poincaré–Birkhoff–Witt Extensions

Armando Reyes ¹^,^a
, Camilo Rodríguez ¹

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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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Armando Reyes, Camilo Rodríguez. The McCoy Condition on Skew Poincaré–Birkhoff–Witt Extensions. Communications in Mathematics and Statistics, 2021, 9(1): 1-21 DOI:10.1007/s40304-019-00184-5