Journal of the
Korean Mathematical Society
JKMS
Article
ALL ARTICLES
View
J. Korean Math. Soc. 2017; 54(1): 177-191
Online first article November 15, 2016 Printed January 1, 2017
https://doi.org/10.4134/JKMS.j150666
Copyright © The Korean Mathematical Society.
Structures concerning group of units
Young Woo Chung and Yang Lee
Kyungsung University, Pusan National University
In this note we consider the right unit-duo ring property on the powers of elements, and introduce the concept of {\it 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
MSC numbers: 16U60, 16U80
Article Tools
Stats or Metrics
Share this article on :
Related articles in JKMS
-
Duo ring property restricted to groups of units
2015; 52(3): 489-501
-
Structure of unit-IFP rings
2018; 55(5): 1257-1268
-
When nilpotents are contained in Jacobson radicals
2018; 55(5): 1193-1205
-
On Jacobson and nil radicals related to polynomial rings
2016; 53(2): 415-431
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd