Zero-divisor graphs of amalgamated duplication of a ring along an ideal

Hamid Reza Maimani, Siamak Yassemi

Let $R$ be a commutative ring with identity and let $I$ be an ideal of $R$. Let $R\bowtie I$ be the subring of $R\times R$ consisting of the elements $(r,r+i)$ for $r\in R$ and $i\in…