| 一类抽象群的有向序化问题 |
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| 引用本文： | 吕新民. 一类抽象群的有向序化问题[J]. 南方冶金学院学报, 1992, 13(4): 350-352 |
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| 作者姓名： | 吕新民 |
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| 作者单位： | 南方冶金学院基础部 |
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| 摘 要： | 1949年,Birkhoff在[1]中提出:任意抽象群可否有向序化?本文拟在运用构造法将一类抽象群有向序化,从而为Birkhoff猜想提供一种局部实现的可能性。
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| 关 键 词： | 偏序群 有向序群 半群 |
Problems of Directed Order on Some Abstract Groups |
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| Lu Xinmin. Problems of Directed Order on Some Abstract Groups[J]. Journal of Southern Institute of Metallurgy, 1992, 13(4): 350-352 |
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| Authors: | Lu Xinmin |
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| Affiliation: | Department of Basic Courses |
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| Abstract: | In 1949 Birkhoff raised the question in paper [1] whether there exist a directed order on any abstract group. This paper attempts to give a directed order on some abstract groups by way of Construction, which might lead to partial realization of Birkhoff s guess. |
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| Keywords: | partially ordered group directed ordered-group semi-group |
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