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.

中文翻译：

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偏Poincaré–Birkhoff–Witt扩展上的McCoy条件

在本文中，我们研究了被称为偏Poincaré–Birkhoff–Witt扩展的多项式类型的非交换环类上的McCoy环的概念。结果，我们概括了有关交换环和Ore扩展的文献中考虑的这一概念的一些结果。