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http://dx.doi.org/10.4134/CKMS.2004.19.4.601

PROPERTIES ON TYPES OF PRIMITIVE NEAR-RINGS  

Cho, Yong-Uk (Department of Mathematics College of Natural Sciences Silla University)
Publication Information
Communications of the Korean Mathematical Society / v.19, no.4, 2004 , pp. 601-618 More about this Journal
Abstract
Throughout this paper, we will consider that R is a near-ring and G an R-group. We initiate the study of monogenic, strongly monogenic R-groups, 3 types of nonzero R-groups and their basic properties. At first, we investigate some properties of D.G. (R, S)-groups, faithful R-groups, monogenic R-groups, simple and R-simple R-groups. Next, we introduce modular right ideals, t-modular right ideals and 3 types of primitive near-rings. The purpose of this paper is to investigate some properties of primitive types near-rings and their characterizations.
Keywords
simple; R-simple; monogenic; strongly monogenic; faith-ful R-groups; D.G. (R, S)-group; 3 types of R-groups; modular right ideals; t-modular right ideals and 3 types of primitive near-rings;
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