Volume 10, Issue 1 (4-2015)                   IJMSI 2015, 10(1): 45-58 | Back to browse issues page

DOI: 10.7508/ijmsi.2015.01.004

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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.
Type of Study: Research paper | Subject: Special