| 环的代数封闭性 |
| |
| 引用本文： | 郭时光.环的代数封闭性[J].数学研究及应用,2002,22(4):639-646. |
| |
| 作者姓名： | 郭时光 |
| |
| 作者单位： | 四川轻化工学院,四川,自贡,643033 |
| |
| 摘 要： | 证明了任一环有代数封闭的扩张环,且实封闭域上的四元数体是代数封闭的,给出了代数封闭环的若干性质.
|
| 关 键 词： | 零点 分裂环 代数封闭 未定元 特征值 |
| 文章编号： | 1000-341X(2002)04-0639-08 |
| 收稿时间： | 1999/6/15 0:00:00 |
| 修稿时间： | 1999年6月15日 |
On the Algebraically Complete Property of Rings |
| |
| GUO Shi-guang.On the Algebraically Complete Property of Rings[J].Journal of Mathematical Research with Applications,2002,22(4):639-646. |
| |
| Authors: | GUO Shi-guang |
| |
| Institution: | Sichuan Institute of Light Industary &. Chemical Technology; Zigong; China |
| |
| Abstract: | The two theorems are proved that any ring can be extended into an algebraically closed ring and that the quaternionic skew field over a real closed field is algebraically closed. Meanwhile, some properties of the algebraically closed rings are given. |
| |
| Keywords: | null point splitting ring algebraically closed indeterminate element eigenvalue |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
| 点击此处可从《数学研究及应用》下载免费的PDF全文 |
