QUASI-ARMENDARIZ PROPERTY ON POWERS OF COEFFICIENTS

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International Electronic Journal of Algebra
Volume:15 Issue:15
QUASI-ARMENDARIZ PROPERTY ON POWERS OF COEFFICIENTS

QUASI-ARMENDARIZ PROPERTY ON POWERS OF COEFFICIENTS

Authors : Tai Keun KWAK, Min Jung LEE, Yang LEE

Pages : 208-217

Doi:10.24330/ieja.266248

View : 10 | Download : 10

Publication Date : 2014-06-01

Article Type : Research Paper

Abstract :The study of Armendariz rings was initiated by Rege and Chhawchharia, based on a result of Armendariz related to the structure of reduced rings. Armendariz rings were generalized to quasi-Armendariz rings by Hirano. We introduce the concept of power-quasi-Armendariz insert ignore into journalissuearticles values(simply, p.q.- Armendariz); ring as a generalization of quasi-Armendariz, applying the role of quasi-Armendariz on the powers of coefficients of zero-dividing polynomials. In the process we investigate the power-quasi-Armendariz property of several ring extensions, e.g., matrix rings and polynomial rings, which have roles in ring theory.
Keywords : power quasi Armendariz ring, power of coefficient, quasi Armendariz ring, Armendariz ring, polynomial ring, matrix ring

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