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Abstract
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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.
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