史福贵.格上点式p.q.度量的乘性(英文)[J].数学研究及应用,2002,22(4):525~530
格上点式p.q.度量的乘性(英文)
Products of Pointwise Pseudo-Quasi-Metrics on Lattices
投稿时间:2000-01-03  
DOI:10.3770/j.issn:1000-341X.2002.04.004
中文关键词:  
英文关键词:cotopology  topological molecular lattice  pseudo-quasi-metric  generalized order homomorphism.
基金项目:
作者单位
史福贵 北京理工大学应用数学系,北京,100081 
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中文摘要:
      本文在可数多个分子格的乘积上构造了一个乘积点式p·q·度量函数,从而证明了点式p·q·度量分子格的可数积是可点式p·q·度量化的.
英文摘要:
      In [6,11], A theory of pointwise pseudo-quasi-metrics was based on completely distributive lattices. In this paper a product pointwise p.q. metric function is constructed on the product of countably many molecular lattices by distance functions. Hence it is proved that countable product of pointwise pseudo-quasi-metric molecular lattices is pointwise pseudo-quasi-metrizable.
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