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: |
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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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