代数结构与几何基础Ⅲ——射影几何的公理体系  

Algebraic Structure and Foundation of Geometry Ⅲ Axioms of projective geometry

作　　者：梅向明[1] 侯忠义[1] 

机构地区：[1]首都师范大学数学系

出　　处：《首都师范大学学报（自然科学版）》1997年第1期1-6,共6页Journal of Capital Normal University：Natural Science Edition

摘　　要：在本文中我们将给出只保留结合公理的几何,并证明:这种几何.同构于域上的射影几何,若添加顺序公理,则得到同构于有序域上的射影几何的几何.In this paper, we give a geometry which satisfies only the axioms of incidence, and prove that this geometry is omorphic to the projective geometry over a field. If the above geometry satisfies also the axioms of order,then we obtain a geometry which is isomorphic to projective geometry over a ordered field.

关 键 词：射影几何 代数结构 同构 公理体系 证明 有序 基础 顺序 

分 类 号：O185.1[理学—数学]