Zero-divisor graphs of amalgamated duplication of a ring along an ideal
Hamid Reza Maimani, Siamak Yassemi
Abstract
Let R be a commutative ring with identity and let I be an ideal of R. Let R 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 I.
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