The zero-divisor graph of an amalgamated algebra

Y. Azimi, M. R. Doustimehr

Let $R$ and $S$ be commutative rings with identity, $f:R\to S$ a ring homomorphism and $J$ an ideal of $S$. Then the subring $R{\bowtie }^{f}J:=\{(r,f(r)+j)\mid r\in R$ and $j\in J\}$ o…