Abstract: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.
Definitions and introductionThroughout, we assume that R is a finite commutative ring with identity, though in some instances the proofs given can be extended to more gene… Show more
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