| 序群中稠密性与阿基米德性质的关系 |
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| 引用本文： | 杨义川.序群中稠密性与阿基米德性质的关系[J].河北理工学院学报,1997,19(3):45-48. |
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| 作者姓名： | 杨义川 |
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| 作者单位： | 北京工业大学应用数学系 |
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| 摘 要： | 研究了序群中稠密性与阿基米德性质的关系，主要得到如下结论：１）序群中稠密性与阿基米德性是相互独立的；２）第一可数完备的格群是阿基米德的；３）有聚点的格群是稠密的；４）稠密的Ｘ的格群是有聚点的全序群。
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| 关 键 词： | 半序幺半群 稠密性 阿基米德性质 序群 |
RELATION OF DENSITY AND ARCHIMEDEANITY ON ORDERED GROUPS |
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| Yang Yichuan.RELATION OF DENSITY AND ARCHIMEDEANITY ON ORDERED GROUPS[J].Journal of Hebei Institute of Technology,1997,19(3):45-48. |
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| Authors: | Yang Yichuan |
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| Institution: | Beijing Polytechnic University 100022 |
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| Abstract: | We obtained 1) Density and Archimedeanity on ordered groups are independent each other; 2) The first numerable complete l group is Archimedean; 3) A l group is dense if it has an accumulation; 4)A dense X 1 group is a totally o group which has an accumulation. |
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| Keywords: | Semi o monoid Density Archimedeanity Numerable completeness L group Totally o group |
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