- PROPERTIES ON TYPES OF PRIMITIVE NEAR-RINGS
- Cho, Yong-Uk ;
- Communications of the Korean Mathematical Society, volume 19, issue 4, 2004, Pages 601~618
- DOI : 10.4134/CKMS.2004.19.4.601

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.