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不分明拓扑群的某些性质
引用本文:郑崇友.不分明拓扑群的某些性质[J].首都师范大学学报(自然科学版),1987(3).
作者姓名:郑崇友
作者单位:北京师范学院数学系
摘    要:1979年Foster首先引入了不分明拓扑群的概念。随后方锦暄、马骥良与于纯海等分别又给出了不分明拓扑群的几种新定义,本文将在文献2]中给出的不分明拓扑群新定义的框架下研究不分明拓扑群的某些性质,如不分明拓扑群的连通性、子群与商群、以及局部性质等。

关 键 词:不分明拓扑  不分明拓扑群

Some of Properties for Fuzzy Topological Groups
Zheng Chongyou.Some of Properties for Fuzzy Topological Groups[J].Journal of Capital Normal University(Natural Science Edition),1987(3).
Authors:Zheng Chongyou
Institution:Department of Mathematics
Abstract:The concept of a fuzzy topological group was first introduced by Foster in 1].Subsequently,several new definitions of the fuzzy topological groups were introduced by Fang,Ma and Ju in2,3].The purpose of this paper is to study some of properties for the fuzzy topogical groups under the framework of the new definition of the fuzzy topological group given in 2], such as connectivity of fuzzy topological groups, subgroups and quotient groups of fuzzy topological groups, and the local properties of fuzzy topological groups.
Keywords:Fuzzy topology  Fuzzy topological group  
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