| 有序域上仿射几何之同构 |
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| 引用本文： | 殷启正,孙永大.有序域上仿射几何之同构[J].曲阜师范大学学报,1991,17(3):50-57,71. |
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| 作者姓名： | 殷启正 孙永大 |
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| 作者单位： | 镇江师专，山东教育出版社 |
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| 摘 要： | 本文首先给出了仿射几何的公理构造法、一般体(或域)上的仿射几何以及体(或域)K上的仿射几何之同构的意义。进而又给出了有序仿射几何、有序域上的仿射几何的意义。最终论证了仿射几何的基本问題:每一个同公理化定义的仿射几何与有序域上仿射几何的同构问題。
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| 关 键 词： | 有序域 仿射几何 同构 |
The Isomorphism of Affine Geometry in Ordered field |
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| Yin Qizheng Sun Yongda.The Isomorphism of Affine Geometry in Ordered field[J].Journal of Qufu Normal University(Natural Science),1991,17(3):50-57,71. |
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| Authors: | Yin Qizheng Sun Yongda |
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| Institution: | Yin Qizheng Sun Yongda (Zhenjiang Teaeher's College) (Shandong Educational Publishing House) |
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| Abstract: | In this paper, the method to construct the affine geometry from axioms and some definitions such as, the isomorphisms of affine geometry in the general field and in field K, ordered affine geometry, and the affine geometry in ordered field, are given. Morever, we prove that there exists an isomorphism between the affine geometry constructed from axioms and the affine geometry in ordered field, which is the elementary problem in affine geometry. |
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| Keywords: | ordered field the method to construet isomorphism |
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