Author/Authors :
Babaeia, Sakineh Department of Mathematics - Imam Khomeini International University, Qazvin, Iran , Payrovi, Shiroyeh Department of Mathematics - Imam Khomeini International University, Qazvin, Iran , Sevim, Esra Sengelen Department of Mathematics - Istanbul Bilgi University, Kazim Karabekir Istanbul, Turkey
Abstract :
Let R be a commutative ring with identity and M be an R-module. The zero divisor graph of M is denoted by Γ(M). In this study,
we are going to generalize the zero divisor graph Γ(M) to submodule-
based zero divisor graph Γ(M,N) by replacing elements whose product
is zero with elements whose product is in some submodule N of M. The
main objective of this paper is to study the interplay of the properties of
submodule N and the properties of Γ(M,N).
