1 Result Found

Let $\mathcal{R}$ be a commutative ring with nonzero identity and $k\ge 2$ be a fixed integer. The k-zero-divisor hypergraph ${\mathcal{H}}_k\left(\mathcal{R}\right)$ of $\mathcal{R}$ consists of the vertex set $Z(\mathcal{R},k)$, the set of all k-zero-divisors of $\mathcal{R}$, and the hyperedges of the form $\{a_1,a_2,a_3,\dots ,a_k\}$, where $a_1,a_2$...