摘要
本文对中外代数书刊中的线性空间的概念进行综合研讨，概括出七种等价的公理系统，并独自给出线性空间另外二个等价的公理系统。同时，对线性空间这九种公理系统的独立性问题予以探讨。
In this paper, the concepts of linear spaces in algebraic textbooks and journals by China and foreign countly will be completely studied and discussed, and the seven each other equivalent axiom systems will be generalized, and the other two equivalent axim systems for a linear space will be independently given. And problems of independence on the nine axiom systems for a linear space will be investigated.
出处
《哈尔滨师范大学自然科学学报》
1996年第3期1-6,共6页
Natural Science Journal of Harbin Normal University
关键词
线性空间
群
公理
公理系统
独立性
Linear space
Group
Axiom
Axiom system
Independence
