Saeed Rasoli

In this paper by considering the notion of hyperlattice, we introduce good and s-good hyperlattices, homomorphism of hyperlattices and s-reflexives. We give some examples of them and we study their structures. We show that there exists a hyperlattice L such that x ? x = {x} for all x ? L and there exist x, y ? L which card(x ? y) = 1. Also, we define a topology on the set of prime ideals of a distributive hyperlattice L and we will call it S(L), then we show that S(L) is a T0 -space. At the end, we obtain that each complemented distributive hyperlattice is a T1-space.