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http://dx.doi.org/10.14317/jami.2015.469

SOME PROPERTIES OF (m, n)-POTENT CONDITIONS  

CHO, YONG UK (Department of Mathematics Education, College of Education, Silla University)
Publication Information
Journal of applied mathematics & informatics / v.33, no.3_4, 2015 , pp. 469-474 More about this Journal
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; $\kappa$-regular; (m, n)-Potent Conditions; R-subgroup; S-unital; reversible; IFP;
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