摘要
对于任意Fuzzy格L和非空集X,本文证明了L^X上极小LF T_2拓扑的存在性,并借助于序同态和理想等工具讨论了这种拓扑的结构。最后证明了当L的最大元是有限个分子之并时L^X上存在唯一极小LF T_2拓扑的充要条件是X为有限集。
For every fuzzy lattice and noempty set X, the existence of minimal LF T_2 topoiogy on L^x is proved and the structure of this kind of topology is discussed with the aid of some tools such as order-homomorphism, Ideal,etc. Finally, it is proved that if the greatest element of L is a finite join of molecules, then there is a unique minimal LF T_2 topology on L^x if and only if X is finite set
出处
《陕西师大学报（自然科学版）》
CSCD
1990年第3期5-7,共3页
Journal of Shaanxi Normal University(Natural Science Edition)
关键词
极小元
LFT2拓扑
序同态
理想
minimal element
LF T_2 topology
order-homomorphism
ideal
