陈仪香.拓扑分子格的极不连通性和S-闭性[J].数学研究及应用,1996,16(2):209~212
拓扑分子格的极不连通性和S-闭性
Extreme Disconnectedness and S-closedness of Topological Molecular Lattice
投稿时间:1993-06-28  
DOI:10.3770/j.issn:1000-341X.1996.02.009
中文关键词:  
英文关键词:topological molecular lattice. extreme discommectedness S-closedness.
基金项目:
作者单位
陈仪香 苏州大学数学科学院 
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中文摘要:
      利用完备余co-Heyting代数上的伪补运算,在拓扑分子格上引入极不连通性和S-闭性,得到了每个S-闭的正则拓扑分子格是极不连通的以及同胚的广义序同态保持极不连通性和S-闭性.
英文摘要:
      We introduce the concepts of cetreme disconnectedness and S-closedness of topological molecular lattices by using the pseudo-negation on complete co-Heyting algebra. Results include: (1) every S-closed regualr topological lattice is extremally disconnected; (2) both extreme discunnectedness and S-closedness are invariant under homeomorphic GOHs.
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