%0 Journal Article %A Babaei, S. %A Payrovi, Sh. %A Sengelen Sevim, E. %T A Submodule-Based Zero Divisors Graph for Modules %J Iranian Journal of Mathematical Sciences and Informatics %V 14 %N 1 %U http://ijmsi.ir/article-1-956-en.html %R %D 2019 %K Zero-divisor graph‎, ‎Submodule-based zero-divisor graph‎, ‎ Semi simple module., %X ‎Let $R$ be commutative ring with identity and $M$ be an $R$-module‎. ‎The zero divisor graph of $M$ is denoted $Gamma{(M)}$‎. ‎In this study‎, ‎we are going to generalize the zero divisor graph $Gamma(M)$ to submodule-based zero divisor graph $Gamma(M‎, ‎N)$ by replacing elements whose product is zero with elements whose product is in some submodules $N$ of $M$‎. ‎The main objective of this paper is to study the interplay of the properties of submodule $N$ and‎ ‎the properties of $Gamma(M‎, ‎N)$‎. %> http://ijmsi.ir/article-1-956-en.pdf %P 147-157 %& 147 %! %9 Research paper %L A-10-598-3 %+ Imam Khomeini International University %G eng %@ 1735-4463 %[ 2019