Duo Property Applied to Powers and Regular Elements

Author:

Kwak Tai Keun1,Lee Yang23,Piao Zhelin2,Seo Yeonsook4

Affiliation:

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

2. Department of Mathematics, Yanbian University, Yanji, Jilin 133002, China

3. Institute of Basic Science, Daejin University, Pocheon 11159, Korea

4. Department of Mathematics, Pusan National University, Busan 46241, Korea

Abstract

The object of this article is to initiate the study of a class of rings in which the right duo property is applied in relation to powers of elements and the monoid of all regular elements. Such rings shall be called right exp-DR. We investigate the structures of group rings, right quotient rings, matrix rings and (skew) polynomial rings, through the study of right exp-DR rings. In addition, we provide a method of constructing finite non-abelian [Formula: see text]-groups for any prime [Formula: see text].

Publisher

World Scientific Pub Co Pte Ltd

Subject

Applied Mathematics,Algebra and Number Theory

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