Abstract
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Let R be a commutative ring with identity and UR be the set of all non-zero non-units
of R. The co-annihilating graph of R, denoted by CAR, is a graph with vertex set UR
and two vertices a and b are adjacent whenever Ann(a)∩Ann(b) = (0). In this paper, we
initiate the study of the co-annihilating graph of a commutative ring and we investigate
its properties.
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