摘要
本文首先给出了一般格成为析取分配格的几个条件，并证明了在满足并无限分配律的条件下，具有析取性质的分配格与Ｂｏｏｌｅ格是等价的；文章还给出了析取分配格的拓扑表示。
In this paper, we present several conditions under which a distributive lattice has disjunctive praperty, and then prove that a disjunctive distributove lattice is equivalent to a Boolean lattice when it satisfies V infinite intersection law. ln the second section, we give a topological representation of the disjunctive distributive lattice.
出处
《数学杂志》
CSCD
1998年第4期400-402,共3页
Journal of Mathematics
关键词
拓扑空间
析取分配格
基格
分配格
拓扑表示
topological space disjunctive distributive lattice basis lattice dual atomic lattice
