摘要
本文以Scott拓扑,Zariski拓扑,区间拓朴等刻划了完全分配律;获得了格的特殊元的存在性与区间拓扑连通性等之间的众多制约关系,给出了若干应用实例和重要反例.
In this paper, we characterise the completely distributive law in lattices with the Scott topology, the Zariski topology and the interval topology. We give some each-other-conditioned relations of existness of special elements and connectedness of the interval topology in a lattice.We also construct some important counterexamples.
出处
《数学学报(中文版)》
SCIE
CSCD
北大核心
1996年第2期219-225,共7页
Acta Mathematica Sinica:Chinese Series
关键词
内蕴拓扑
完全分配律
连通性
极小集
格
intrinsic topologies, completely distributive law, connectedness, minimal sets