Α-Skew π-McCoy Rings. (1st August 2013)

• Record Type: Journal Article
• Authors: Abduldaim, Areej M.; Chen, Sheng
• Other Names: Wang Baolin Academic Editor.
• Is Part Of: Journal of applied mathematics. Volume 2013(2013)
• Publication Date: 2013-08-01
• Subjects: Mathematics -- Periodicals; 519.05
• DOI: 10.1155/2013/309392
• Languages: English
• ISSNs: 1110-757X

Abstract

Abstract : 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 π 1 -McCoy rings and α -skew π 2 -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 π 1 -McCoy rings imply α -skew π -McCoy rings and α -skew π 2 -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 π 1 -McCoy ring, then R is α -skew π 2 -McCoy.