Associated Graphs of Modules Over Commutative Rings
Author(s):
Abstract:
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.
Keywords:
Language:
English
Published:
Iranian Journal of Mathematical Sciences and Informatics, Volume:10 Issue: 1, May 2015
Pages:
45 to 58
https://www.magiran.com/p1401955