Distributive lattice orderings and Priestley duality
Abstract
The ordering relation of a bounded distributive lattice L is a (distributive) (0, 1)-sublattice of L × L. This construction gives rise to a functor from the category of bounded distributive lattices to itself. We examine the interaction of with Priestley duality and characterise those bounded distributive lattices L such that there is a bounded distributive lattice K such that (K) is (isomorphic to) L.
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