关于任意格的集合论表示的一个注记
A Note on the Set-Theoretic Representation of Arbitrary Lattices
摘要：
每个格同构于一个格，它的元素是集合的集合，它的运算是交集和一个运算，该运算将两个集合A和B的并集扩展为包含A的元素和B的元素的交集的所有集合的集合。这个表示精确地阐明了Birkhoff和Frinks对任意格的表示，这与Stone对分配格的集合论表示有关。
英文摘要：
Every lattice is isomorphic to a lattice whose elements are sets of sets, and whose operations are intersection and an operation extending the union of two sets of sets A and B by the set of all sets in which the intersection of an element of A and of an element of B is included. This representation spells out precisely Birkhoff's and Frinks's representation of arbitrary lattices, which is related to Stone's set-theoretic representation of distributive lattices.
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