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用连通性刻划适当性、既约性和正则性
引用本文:金晨辉.用连通性刻划适当性、既约性和正则性[J].首都师范大学学报(自然科学版),1988(4).
作者姓名:金晨辉
作者单位:北京师范学院数学系
摘    要:本文借助于拓扑分子格的连通性概念,分别给出了一个分子格为既约的和正则的充要条件,证明了如果分子格L是既约的,则非连通的L-拓扑分子格均是L-适当的。

关 键 词:连通性  适当性  既约性  正则性  拓扑分子格

Characterizing L-suitability,Irreducibility and Regularity via Connectedness
Jin Chenhui.Characterizing L-suitability,Irreducibility and Regularity via Connectedness[J].Journal of Capital Normal University(Natural Science Edition),1988(4).
Authors:Jin Chenhui
Institution:Department of Mathematics
Abstract:In this paper, using the concept of connectedness in topological molecular lattices, we give a necessary and sufficient condition under which a molecular lattice is irreducible and regular respectively, and we also show that any disconnected L-topological molecular lattice is L-suitable if the molecular lattice is irreducible.
Keywords:connectedness  suitability  irreducibility  regularity  topological molecular lattice
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