| 关于Pappus命题的代数特性 |
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| 引用本文： | 唐起汉.关于Pappus命题的代数特性[J].苏州大学学报(医学版),1987(1). |
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| 作者姓名： | 唐起汉 |
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| 作者单位： | 苏州大学数学系 |
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| 摘 要： | Pappus命题的代数特性系指Pappus射形平面是域上的射影平面.本文给出这个论断的一种证明方法:首先构作Desargues射影平面的除环,然后证明,就Pappus射影平面而言,该除环是一个域。
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| 关 键 词： | Desargues平面 Pappus平面 除环 域 直射群 合射群 保心同态 可换性 |
On the Algebraic Character of Pappus Proposition |
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| Tang Qihan.On the Algebraic Character of Pappus Proposition[J].Journal of Suzhou University(Natural Science),1987(1). |
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| Authors: | Tang Qihan |
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| Institution: | Department of Manthematics |
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| Abstract: | It is the character of Pappus proposition that Pappian projective plane is a project ive plane over a field. This paper gives a methmod used to prove the above conclusion, which constructs a division ring of Desarguesian projective plane first, and then proves that this division ring is a field for Pappian project ive plane. |
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| Keywords: | Desarguesian plane Pappian plane division ring field collineation group elation group center preserving homomorphim commutative law |
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