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2013 α-Skew π-McCoy Rings
Areej M. Abduldaim, Sheng Chen
J. Appl. Math. 2013: 1-7 (2013). DOI: 10.1155/2013/309392

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.

Citation

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Areej M. Abduldaim. Sheng Chen. "α-Skew π-McCoy Rings." J. Appl. Math. 2013 1 - 7, 2013. https://doi.org/10.1155/2013/309392

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950610
MathSciNet: MR3090607
Digital Object Identifier: 10.1155/2013/309392

Rights: Copyright © 2013 Hindawi

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