Title of article :
On the ideal-based zero-divisor graphs
Author/Authors :
Ansari-Toroghy, Habibollah Department of Pure Mathematics - Faculty of Mathematical Sciences - University of Guilan , Mahboobi-Abkenar, Farideh Department of Pure Mathematics - Faculty of Mathematical Sciences - University of Guilan
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
Journal title :
International Electronic Journal of Algebra
