| 全序域及半序域 |
| |
| 引用本文： | 黄崇智.全序域及半序域[J].内江师范学院学报,2003,18(4):10-14. |
| |
| 作者姓名： | 黄崇智 |
| |
| 作者单位： | 内江师范学院,数学系,四川,内江,641112 |
| |
| 摘 要： | 我们给出一个与传统的全序域定义等价的全序域定义,并由此推导出一系列关于全序域的基本命题。顺带地,我们还引入“半序域”——概念,并指出其一些性质。最后,借助于序这个概念,我们将域分为全序域,半序域及Galois域三类。其中前二类的特征为0,而最后一类的特征为各个素数P。
|
| 关 键 词： | 半序 全序域 正元素 素域 域特征 半序域 |
| 文章编号： | 1671-1785(2003)04-0010-05 |
| 修稿时间： | 2003年3月21日 |
Ordered Field and Partially Ordered Field |
| |
| HUANG Chong-zhi.Ordered Field and Partially Ordered Field[J].Journal of Neijiang Teachers College,2003,18(4):10-14. |
| |
| Authors: | HUANG Chong-zhi |
| |
| Abstract: | We give a new definition of the so-called ordered field which is equivalent to the traditional one, and derive a series of the basic propositions with this new definition. By the way, we introduce the concept "partially ordered field", and point out some of its properties. And lastly, we classify the fields into three kinds, viz. ordered fields, partially ordered fields and Galois fields. |
| |
| Keywords: | partial ordering ordered field positive element prime field characteristic of a field partially ordered field |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
