On the ideal-based zero-divisor graphs

Authors : Habibollah ANSARİTOROGHY, Faranak FARSHADİFAR, Farideh MAHBOOBİABKENAR

Pages : 115-130

Doi:10.24330/ieja.373650

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Publication Date : 2018-01-11

Article Type : Research Paper

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 AnnRinsert ignore into journalissuearticles values(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