Abstract
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Let R be a commutative ring with identity._e co-annihilating-ideal graph of R, denoted
by AR, is a graph whose vertex set is the set of all non-zero proper ideals of R and two distinct
vertices I and J are adjacent whenever Ann(I)9Ann(J)={§}. In this paper we initiate the study
of the co-annihilating ideal graph of a commutative ring and we investigate its properties.
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