α‐Skew π‐McCoy Rings

Areej M. Abduldaim and Sheng Chen

Journal of Applied Mathematics, 2013, vol. 2013, issue 1

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 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.

Date: 2013
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https://doi.org/10.1155/2013/309392

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnljam:v:2013:y:2013:i:1:n:309392

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