| 关于线性空间定义中各公理的独立问题 |
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| 引用本文： | 黄思翔. 关于线性空间定义中各公理的独立问题[J]. 广东药学院学报, 1992, 0(2) |
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| 作者姓名： | 黄思翔 |
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| 作者单位： | 广东医药学院数学教研室 |
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| 摘 要： | 本文证明了在有理数域上线性空间定义中公理5和公理6不独立,同时给出了公理5、公理6在复数域上独立和公理2、公理8在任意数域上独立的例子,在理论上有一定意义。
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| 关 键 词： | 线性空间 定义 |
On the Independence of each Axiom in the Definition of Linear Space |
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| Huang Sixiang Guangdong Miical and Pharaceutical College. On the Independence of each Axiom in the Definition of Linear Space[J]. Academic Journal of Guangdong College of Pharmacy, 1992, 0(2) |
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| Authors: | Huang Sixiang Guangdong Miical and Pharaceutical College |
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| Affiliation: | Huang Sixiang Guangdong Miical and Pharaceutical College |
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| Abstract: | The article has proved the non-independence of Axioms 5 and 6 in the definition of linear space on the rational number field. At the same time, it has presented to us some examples to show the independence of Axioms 5 and 6 on the complex number field and the independence of Axioms 2 and 8 on the arbitrary number field. Its theorehical significance has been shown. |
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| Keywords: | Linear space Definition |
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