Associated Graphs of Modules Over Commutative Rings
نویسندگان
چکیده مقاله:
Let $R$ be a commutative ring with identity and let $M$ be an $R$-module. In this paper we introduce a new graph associated to modules over commutative rings. We study the relationship between the algebraic properties of modules and their associated graphs. A topological characterization for the completeness of the special subgraphs is presented. Also modules whose associated graph is complete, tree or complete bipartite are studied and several characterizations are given.
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عنوان ژورنال
دوره 10 شماره None
صفحات 45- 58
تاریخ انتشار 2015-04
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