alpha-Skew pi-McCoy Rings

作者：Abduldaim, Areej M.^*; Chen, Sheng

来源：Journal of Applied Mathematics, 2013, 309392.

DOI：10.1155/2013/309392

• ARMENDARIZ RINGS
• POLYNOMIAL-RINGS
• EXTENSIONS

As a generalization of alpha-skew McCoy rings, we introduce the concept of alpha-skew pi-McCoy rings, and we study the relationships with another two new generalizations, alpha-skew pi(1)-McCoy rings and alpha-skew pi(2)-McCoy rings, observing the relations with alpha-skew McCoy rings, pi-McCoy rings, alpha-skew Armendariz rings, pi-regular rings, and other kinds of rings. Also, we investigate conditions such that alpha-skew pi(1)-McCoy rings imply alpha-skew pi-McCoy rings and alpha-skew pi(2)-McCoy rings. We show that in the case where R is a nonreduced ring, if R is 2-primal, then R is an alpha-skew pi-McCoy ring. And, let R be a weak (alpha,delta)-compatible ring; if R is an alpha-skew pi(1)-McCoy ring, then R is alpha-skew pi(2)-McCoy.

• 出版日期2013
• 单位哈尔滨工业大学