分配格序与Priestley对偶
Distributive lattice orderings and Priestley duality
摘要：
有界分配格L的序关系是L的（分配）（0，1）-子格\times L。这种构造从有界分配格范畴中产生一个函子Φ。研究了Φ与Priestley对偶的相互作用，证明了有界分配格L使得存在有界分配格K使得Φ（K）同构于L.
英文摘要：
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.
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