Journal of applied mathematics & informatics
- Volume 18 Issue 1_2
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- Pages.573-583
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- 2005
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- 2734-1194(pISSN)
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- 2234-8417(eISSN)
A STUDY ON R-GROUPS WITH MR-PROPERTY
- CHO YONG UK (Department of Mathematical Education, College of Education, Silla University)
- Published : 2005.03.01
Abstract
In this paper, all near-rings R are left near-rings and all representations of R are (right) R-groups. We start with a study of AR, almost AR and AGR rings which are motivated by the works on the Sullivan's Problem [10] and its properties. Next, for any R-group G, we introduce a notion of R-groups with M R-property and investigate their properties and some characterizations of these R-groups. Finally, for the faithful M R-property, we get a commutativity of near-rings and rings.