Author/Authors :
Abbasi، S. A. نويسنده , , Roshan-Shekalgourabi، H. نويسنده Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, P. O. Box 41335-19141, Rasht, Iran. , , Hassanzadeh-Lelekaami، D. نويسنده Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Guilan, P. O. Box 41335-19141, Rasht, Iran. ,
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
some 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.
