Construction of Zero-Divisor Graph of a Hyperlattice with Respect to Hyperideals

In this paper, we define the zero-divisor graph of a meet-hyperlattice with respect to a hyperideal. We prove the diameter of a P−hyperlattice and Nakano hyperlattice are at most 3 and 4 respectively. We obtain that the zero-divisor graph with respect to the intersection of two prime hyperideals is complete bipartite. We prove certain properties of these zero-divisor graphs with suitable examples.