摘要
在完备格上引入了se-拓扑和sρ-拓扑的概念,讨论了半连续格上se-拓扑和sρ-拓扑的一些基本性质,进而给出了半连续格上半基的若干等价刻画.
In this paper,the concepts ofthe se-topology and the sρ-topologyon completelattices are introduced.Some basic properties of the se-topology and the sρ-topology on semicontinuous lattices are investigated.In terms of the se-topology and the sρ-topology,some characterizations of semi-bases of semicontinuous lattices are obtained.It is proved that semi-bases coincide with dense sets in the sρ-topology of complete lattices under certain conditions.
作者
毛徐新
徐罗山
MAO Xu-xin;XU Luo-shan(College of Mathematics,Nanjing Univ.of Aeronautics and Astronautics,Nanjing 210016,China;School of Math.Sci.,Yangzhou Univ.,Yangzhou 225002,China)
出处
《高校应用数学学报(A辑)》
北大核心
2023年第4期471-477,共7页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金
国家自然科学基金(11671008,11101212,11701500)
江苏省高校自然科学基金(15KJD110006)。
关键词
半连续格
半基
se-拓扑
sρ-拓扑
semicontinuous lattice
semi-base
se-topology
sρ-topology
