On the ideal-based zero-divisor graphs

Abstract

Let R be a commutative ring. In this paper, we study the annihilator

ideal-based zero-divisor graph by replacing the ideal I of R with the ideal

AnnR(M) for an R-module M. Also, we investigate a certain subgraph of the

annihilator ideal-based zero-divisor graph and obtain some related results.

Keywords

• Zero-divisor,coreduced,complemented

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