Distributive lattice orderings and Priestley duality

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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 Φfrom the category of bounded distributive lattices to itself. We examine the interaction of Φwith Priestley duality and characterise those bounded distributive lattices L such that there is a bounded distributive lattice K such that Φ(K) is (isomorphic to) L.
9 pages

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Logic, 06B50; 54F05

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http://salesiana.dossiersoluciones.com/handle/123456789/129531

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0705.3878
 http://arxiv.org/abs/0705.3878

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arXiv