On the ideal-based zero-divisor graphs

Year 2018, , 115 - 130, 11.01.2018

Habibollah Ansari-toroghy Faranak Farshadifar , Farideh Mahboobi-abkenar

https://doi.org/10.24330/ieja.373650

Cited By: 1

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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