SOME PROPERTIES OF (m, n)-POTENT CONDITIONS

Title & Authors
SOME PROPERTIES OF (m, n)-POTENT CONDITIONS
CHO, YONG UK;

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..
Keywords
left regular;bipotent;$\small{\kappa}$-regular;(m, n)-Potent Conditions;R-subgroup;S-unital;reversible;IFP;
Language
English
Cited by
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