- SOME PROPERTIES OF (m, n)-POTENT CONDITIONS
- CHO, YONG UK ;
- Journal of applied mathematics & informatics, volume 33, issue 3_4, 2015, Pages 469~474
- DOI : 10.14317/jami.2015.469

Abstract

In this paper, we will consider the notions of (m, n)-potent conditions in near-rings, in particular, a near-ring R with left bipotent or right bipotent condition. We will derive some properties of near-rings with (1, n) and (n, 1)-potent conditions where n is a positive integer, and then some properties of near-rings with (m, n)-potent conditions. Also, we may discuss the behavior of R-subgroups in (1, n)-potent or (n, 1)-potent near-rings..