| 格上伪度量函数的分解 |
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| 引用本文： | 梁学军. 格上伪度量函数的分解[J]. 北京师范大学学报(自然科学版), 1995, 31(1): 16-19 |
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| 作者姓名： | 梁学军 |
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| 作者单位： | 北京师范大学数学系 |
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| 摘 要： | 提出了格上的半伪度量函数的概念，给出了格上伪度量函数的几种分解，即，将伪度量函数表示为２个半伪度量函数之和，讨论了它们在格上的诱导拓扑之间的对应关系，并且研究了格上的半伪度量与非负模函数之间的关系。
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| 关 键 词： | 伪度量 分解 格 模函数 |
THE DECOMPOSITION OF PSEUDO-METRIC ON LATTICES |
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| Liang Xuejun. THE DECOMPOSITION OF PSEUDO-METRIC ON LATTICES[J]. Journal of Beijing Normal University(Natural Science), 1995, 31(1): 16-19 |
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| Authors: | Liang Xuejun |
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| Abstract: | The concept of semi pseudo-metrics on lattices was provided,several kinds of decomposition of a pseudo-metric on a lattice as a sum of two semi pseudometrics are given,the relations of the topologies derived by them were discussd,and the relation between the semi pseudo-metric on lattices and the non-negative modular function on lattices is also discussed. |
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| Keywords: | pseudo-metrics semi pseudo-metrics decomposition of pseudo-metrics lattices modular functions |
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