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|Paper IPM / M / 8542||
Let R be a commutative ring with identity and let I be an ideal of R.
Let R \bowtie I be the subring of R ×R consisting of the elements (r, r+ i)
for r ∈ R and i ∈ I. We study the diameter and girth of the zero-divisor graph of the ring R \bowtie I.
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