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http://dx.doi.org/10.4134/JKMS.2005.42.6.1153

R-HOMOMORPHISMS AND R-HOMOGENEODS MAPS  

Cho, Yong-Uk (Department of Mathematics Education College of Education Silla University)
Publication Information
Journal of the Korean Mathematical Society / v.42, no.6, 2005 , pp. 1153-1167 More about this Journal
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.
Keywords
AR rings; AGR rings; R-homogeneous maps; centralizers; GM modules; MR groups;
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