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Commun. Korean Math. Soc. 2018; 33(4): 1103-1112
Online first article September 7, 2018 Printed October 31, 2018
https://doi.org/10.4134/CKMS.c170453
Copyright © The Korean Mathematical Society.
Nilpotent-duo property on powers
Dong Hwa Kim
Pusan National University
We study the structure of a generalization of right nilpotent-duo rings in relation with powers of elements. Such a ring property is said to be {\it weakly right nilpotent-duo}. We find connections between weakly right nilpotent-duo and weakly right duo rings, in several algebraic situations which have roles in ring theory. We also observe properties of weakly right nilpotent-duo rings in relation with their subrings and extensions.
Keywords: weakly right nilpotent-duo ring, nilpotent, weakly right duo ring, right nilpotent-duo ring, Abelian ring
MSC numbers: 16N40, 16U80
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