以L－Lindenbaum代数为背景，引入了蕴涵格与正则蕴涵格的概念，讨论了其基本性质，引入了Fuzzy蕴涵空间的概念，为点集拓扑学中零维空间概念的推广．建立了正则蕴涵格的Fuzzy蕴涵空间表现定理，以此为基础可以给出著名的Stone表现定理的另一种证明．

Taking the concept of L*-Lindenbaum algebra as background, this paper introduced the concepts of implication lattice and regular implication lattice and discussed their basic properties. On the other hand, this paper introduced the concept of fuzzy implication space that is generallization of the concept of zero-dimensional space in point set topology. The representation theorem of regular implication lattices by means of fuzzy implication spaces had been established, that can be seen as, in certain sense, a generalization of the famous Stone’s representation theorem.