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-Skew -McCoy Rings

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  • Areej M. Abduldaim
  • Sheng Chen

Abstract

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

Suggested Citation

  • Areej M. Abduldaim & Sheng Chen, 2013. "-Skew -McCoy Rings," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-7, August.
    • Handle: RePEc:hin:jnljam:309392
    DOI: 10.1155/2013/309392
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