A Submodule-Based Zero Divisors Graph for Modules
نویسندگان
چکیده مقاله:
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 $Gamma(M, N)$.
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عنوان ژورنال
دوره 14 شماره 1
صفحات 147- 157
تاریخ انتشار 2019-04
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