Distributive lattice orderings and Priestley duality
Logic
2007-05-29 v1
Abstract
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.
Keywords
Cite
@article{arxiv.0705.3878,
title = {Distributive lattice orderings and Priestley duality},
author = {Michel Krebs and Dominic van der Zypen},
journal= {arXiv preprint arXiv:0705.3878},
year = {2007}
}