摘要
本文研究了广义完全分配格和强伪代数格的一些代数性质和拓扑性质,并给出它们的一些刻画.证明了广义完全分配格关于上拓扑是sober空间.
In this paper, we investigate some algebraic and topological properties of generalized completely distributive lattices and strongly pseudoalgebraic lattices, and give them some characterizations. We prove that the generalized completely distributive lattice is a sober space in the upper topology.
出处
《吉林师范大学学报（自然科学版）》
2013年第4期77-81,共5页
Journal of Jilin Normal University:Natural Science Edition
基金
安徽省自然科学研究项目(KJ2012Z358)
关键词
广义完全分配格
超连续格
上拓扑
sober空间
强伪代数格
generalized completely distributive lattice
hypercontinuous lattice
upper topology
sober space
strongly pseudoalgebraic lattice
