定向极小集及其应用  

DIRECTED MINIMAL SETS AND THEIR APPLICATIONS

作　　者：史福贵[1] 

机构地区：[1]牡丹江师范学院

出　　处：《数学杂志》1993年第4期519-524,共6页Journal of Mathematics

摘　　要：文[5]在完备格上给出了φ-极小集与φ-极大集理论.本文研究了当φ是定向集族(过滤集族)时的φ-极小集(φ-极大集),并借助于它们给出了完全分配格的若干刻划.In this paper we study (?)-minimal set where (?) is a family of all directedset and (?)-maximal set where (?) is a family of all filtered set in a completelattice and give equivalent conditions of a completely distributive lattice.

关 键 词：完全分配格 定向极小集 完备格 

分 类 号：O153.1[理学—数学]