具有析取性质的分配格的拓扑表示及性质  

THE TOPOLOGICAL REPRESENTATION AND PROPERTIES OF DISTRIBUTIVE LATTICES WITH DISJUNCTIVE PROPERTIES

作　　者：刘蔚萍[1] 贾武[2] 

机构地区：[1]同济医科大学 [2]军事经济学院

出　　处：《数学杂志》1998年第4期400-402,共3页Journal of Mathematics

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.

关 键 词：拓扑空间 析取分配格 基格 分配格 拓扑表示 

分 类 号：O153.1[理学—数学] O189.1[理学—基础数学]