Generalizations of reversible and Armendariz rings-Reference-Cited by-同舟云学术

Generalizations of reversible and Armendariz rings

Published:2016-08 Issue:05 Volume:26 Page:911-933
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

Han Juncheol¹,Kwak Tai Keun²,Lee Chang Ik³,Lee Yang¹,Seo Yeonsook¹

Affiliation:

1. Department of Mathematics Education, Pusan National University, Pusan 46241, Korea

2. Department of Mathematics, Daejin University, Pocheon 11159, Korea

3. Department of Mathematics, Pusan National University, Pusan 46241, Korea

Abstract

This paper concerns several ring theoretic properties related to matrices and polynomials. The basic properties of [Formula: see text]-reversible and power-Armendariz are studied. We provide a method by which one can always construct a power-Armendariz ring but neither symmetric nor Armendariz from given any symmetric ring. We investigate next various interesting relations among ring theoretic properties containing [Formula: see text]-reversibility and power-Armendariz condition.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196716500387

Reference26 articles.

1. Armendariz rings and gaussian rings

2. Semigroups and rings whose zero products commute

3. Nilpotent elements and Armendariz rings

4. A note on extensions of Baer and P. P. -rings

5. Near-rings in which each element is a power of itself

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