α-Skew π-McCoy rings

As a generalization of α-skew mccoy rings,we introduce the concept of α-skew π-mccoy rings,and we study the relationships with another two new generalizations,α-skew π1-mccoy rings and α-skew π2-mccoy rings,observing the relations with α-skew mccoy rings,π-mccoy rings,α-skew armendariz rings,π-regular rings,and other kinds of rings. also,we investigate conditions such that α-skew π1-mccoy rings imply α-skew π-mccoy rings and α-skew π2-mccoy rings. we show that in the case where r is a nonreduced ring,if r is 2-primal,then r is an α-skew π-mccoy ring. and,let r be a weak (α,δ)-compatible ring; if r is an α-skew π1-mccoy ring,then r is α-skew π2-mccoy. © 2013 areej m. abduldaim and sheng chen.