The extended zero-divisor graph of the amalgamated duplication of a ring along an ideal

Brahim El Alaoui, Raja L'hamri

Let $R$ be a commutative ring and $I$ be an ideal of $R$. The amalgamated duplication of $R$ along $I$ is the subring $R\bowtie I:=\{(r,r+i)|r\in R,i\in I\}$ of $R\times R$. This p…