| 关于线性空间的公理系统 |
| |
| 引用本文： | 白述伟.关于线性空间的公理系统[J].哈尔滨师范大学自然科学学报,1996,12(3):1-6. |
| |
| 作者姓名： | 白述伟 |
| |
| 作者单位： | 哈尔滨师范大学 |
| |
| 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外等价的公理系统。同时，对线性空间这九种公理系统的独立性问题予以探讨。
|
| 关 键 词： | 线性空间 群 公理 公理系统 独立性 |
ON THE AXIOM SYSTEMS FOR A LINEAR SPACE |
| |
| Bai,Shuwei.ON THE AXIOM SYSTEMS FOR A LINEAR SPACE[J].Natural Science Journal of Harbin Normal University,1996,12(3):1-6. |
| |
| Authors: | Bai Shuwei |
| |
| Institution: | Harbin Normal University |
| |
| Abstract: | 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. |
| |
| Keywords: | Linear space Group Axiom Axiom system Independence |
| 本文献已被 CNKI 维普 等数据库收录！ |
