%0 Journal Article
%A Abbasi, A.
%A Roshan-Shekalgourabi, H.
%A Hassanzadeh-Lelekaami, D.
%T Associated Graphs of Modules Over Commutative Rings
%J Iranian Journal of Mathematical Sciences and Informatics
%V 10
%N 1
%U http://ijmsi.ir/article-1-418-en.html
%R 10.7508/ijmsi.2015.01.004
%D 2015
%K Associated Graph of module, Prime spectrum, Connected graph, Diameter.,
%X 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.
%> http://ijmsi.ir/article-1-418-en.pdf
%P 45-58
%& 45
%!
%9 Research paper
%L A-10-438-1
%+ Uni. Guilan
%G eng
%@ 1735-4463
%[ 2015