Distributive lattice orderings and Priestley duality

Details Distributive lattice orderings and Priestley duality Distributive lattice orderings and Priestley duality

2007-05-26

arxiv.org/abs/0705.3878v1

Mathematics

Logic

9 pages

Scientific paper

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

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