| A Simple Proof for a Property of the Vector Space Ⅴ Over the Field F |
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| 引用本文： | Li Heng—pei(Depurtnent of Applied Mathematics and Physics Beyjing University of Aeronantics and Astronautics). A Simple Proof for a Property of the Vector Space Ⅴ Over the Field F[J]. 大学数学, 1993, 0(1) |
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| 作者姓名： | Li Heng—pei(Depurtnent of Applied Mathematics and Physics Beyjing University of Aeronantics and Astronautics) |
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| 摘 要： | <正> In this paper we'll prove a fundameutal property of the vector space by means of the ex-tension field,i.e.the numbers of the elements of a basis of the vector space V over the field Fequal to the d imensions(V:F).
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A Simple Proof for a Property of the Vector Space Ⅴ Over the Field F |
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| Affiliation: | Depurtnent of Applied Mathematics and Physics Beyjing University of Aeronantics and Astronautics |
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| Abstract: | In this paper we'll prove a fundameutal property of the vector space by means of the ex-tension field,i.e.the numbers of the elements of a basis of the vector space V over the field Fequal to the d imensions(V:F). |
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| Keywords: | field extension field vector space dimecsion basis |
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