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关于Pappus命题的代数特性
On the Algebraic Character of Pappus Proposition
【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。
【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.
【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;
【Key words】 Desarguesian plane; Pappian plane; division ring; field; collineation group; elation group; center preserving homomorphim; commutative law;
【Key words】 Desarguesian plane; Pappian plane; division ring; field; collineation group; elation group; center preserving homomorphim; commutative law;
- 【文献出处】 苏州大学学报(自然科学版) ,Journal of Suzhou University(Natural Science) , 编辑部邮箱 ,1987年01期
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