Noetherian Rings Whose Annihilating-Ideal Graphs Have finite Genus

Farid Aliniaeifard, Mahmood Behboodi, Yuanlin Li

Let $R$ be a commutative ring and $\mathbb{A}(R)$ be the set of ideals with non-zero annihilators. The annihilating-ideal graph of $R$ is defined as the graph $\mathbb{AG}(R)$ with v…