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http://dx.doi.org/10.4134/JKMS.j150666

STRUCTURES CONCERNING GROUP OF UNITS  

Chung, Young Woo (School of Mathematics and Applied Statistics Kyungsung University)
Lee, Yang (Department of Mathematics Education Pusan National University)
Publication Information
Journal of the Korean Mathematical Society / v.54, no.1, 2017 , pp. 177-191 More about this Journal
Abstract
In this note we consider the right unit-duo ring property on the powers of elements, and introduce the concept of weakly right unit-duo ring. We investigate first the properties of weakly right unit-duo rings which are useful to the study of related studies. We observe next various kinds of relations and examples of weakly right unit-duo rings which do roles in ring theory.
Keywords
weakly right unit-duo ring; right unit-duo ring; group of units; Jacobson radical; Abelian ring; nilpotent element; ${\pi}$-regular ring; right duo ring; weakly right duo ring; group ring;
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Times Cited By KSCI : 4  (Citation Analysis)
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