Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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R-HOMOMORPHISMS AND R-HOMOGENEODS MAPS

  • Cho, Yong-Uk (Department of Mathematics Education College of Education Silla University)
  • Published : 2005.11.01
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Abstract

In this paper, all rings and all near-rings R are associative, all modules are right R-modules. For a near-ring R, we consider representations of R as R-groups. We start with a study of AGR rings and their properties. Next, for any right R-module M, we define a new concept GM module and investigate the commutative property of faithful GM modules and some characterizations of GM modules. Similarly, for any near-ring R, we introduce an R-group with MR-property and some properties of MR groups.

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