Title of article
Associated Graphs of Modules Over Commutative Rings
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. ,
Issue Information
فصلنامه با شماره پیاپی سال 2015
Pages
14
From page
45
To page
58
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.
Journal title
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
Serial Year
2015
Journal title
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
Record number
2276249
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