摘要
本文讨论了完备格上有限极小集和可分子生成的格的性质,证明了可分子生成的格范畴与Sober拓扑空间范畴的反范畴的等价性;在此基础上给出了完全分配格的一族刻划.
In this paper ,the properties of the finitely minimal sets on the complete lattices and the molecular generated lattices will be discussed, the equivalence of category MG and category SOB^(op) will beproved. Based on this,the characterizations of competely distributive lattices will be obtained.
出处
《淮北煤师院学报(自然科学版)》
1992年第1期1-7,共7页
Journal of Huaibei Teachers College(Natural Sciences Edition)
关键词
有限极小集
分子
余拓扑
完全分配格
finitely minimal set molecular co-topology completely dislributivelat tice