• Title/Summary/Keyword: faith-ful R-groups

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PROPERTIES ON TYPES OF PRIMITIVE NEAR-RINGS

  • Cho, Yong-Uk
    • Communications of the Korean Mathematical Society
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    • v.19 no.4
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    • pp.601-618
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    • 2004
  • 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.