| 阿基米德l—群的几个定理 |
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| 引用本文： | 李密堂,董克诚.阿基米德l—群的几个定理[J].河北省科学院学报,1999,16(3):19-22,26. |
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| 作者姓名： | 李密堂 董克诚 |
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| 作者单位： | 河北大学数学系!保定071002 |
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| 摘 要： | 首先给出阿基米德ｌ群的几个基本概念及引理，然后讨论了它的有关性质。特别是定理 ４ 导出全序阿氏ｌ群与实数的戴得金分划间的关系。对研究ｌ群的结构有其理论价值。
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| 关 键 词： | 格序群 无比地较小于 阿基米德l-群 戴得金分划 |
Some theorems of Archimedean lattice groups |
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| LI Mi tang,DONG Ke cheng.Some theorems of Archimedean lattice groups[J].Journal of The Hebei Academy of Sciences,1999,16(3):19-22,26. |
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| Authors: | LI Mi tang DONG Ke cheng |
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| Abstract: | This paper firstly gives some ideas and lemmas about Archimedean l groups,then discusses some properties about it.Especially, theorem 4 describes the relation between the totaly Archimedean l groups and Dedekind cut of real numbers.This paper is valuable for study of the structure of l groups. |
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| Keywords: | Lattice ordered groups Incomparably smaller than Archimedean l groups Dedekind cut |
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