Abstract
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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callSimilar Papers
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
