α-Skewπ-McCoy Rings

[摘要] As a generalization ofα-skew McCoy rings, we introduce the concept ofα-skewπ-McCoy rings, and we study the relationships with another two new generalizations,α-skewπ1-McCoy rings andα-skewπ2-McCoy rings, observing the relations withα-skew McCoy rings,π-McCoy rings,α-skew Armendariz rings,π-regular rings, and other kinds of rings. Also, we investigate conditions such thatα-skewπ1-McCoy rings implyα-skewπ-McCoy rings andα-skewπ2-McCoy rings. We show that in the case whereRis a nonreduced ring, ifRis 2-primal, thenRis anα-skewπ-McCoy ring. And, letRbe a weak (α,δ)-compatible ring; ifRis anα-skewπ1-McCoy ring, thenRisα-skewπ2-McCoy.

[学科分类] 应用数学