An exploration of ideal-divisor graphs
commutative ring with identity, radical ideal, zero-divisor graph, ideal-divisor graph
Zero-divisor graphs have given some interesting insights into the behavior of commutative rings. Redmond introduced a generalization of the zero-divisor graph called an ideal-divisor graph. This paper expands on Redmond’s findings in an attempt to find additional information about the structure of commutative rings from ideal-divisor graphs.