| 再论Γ-环由元素性质确定的根 |
| |
| 引用本文： | 陈维新.再论Γ-环由元素性质确定的根[J].浙江大学学报(理学版),2000,27(2):167-170. |
| |
| 作者姓名： | 陈维新 |
| |
| 摘 要： | 本文在 Γ-环中继续研究由元素性质确定的根性质 .首先证明了文献 1]中主要定理的逆定理 , 从而使满足某些条件的元素所具有的性质 P与根性质 R可互相确定 .进而讨论确定的唯一性问题.利用 这些结果可得出 Γ-环的 Baer根是由元素的 m-幂零性所确定的根.
|
| 关 键 词： | Γ-环 元素 P-性质 根类 Baer根 (素根 ) |
| 修稿时间： | 1997-03-26 |
The
sequel of radicals of |
| |
| C HEN Wei-xin.The
sequel of radicals of[J].Journal of Zhejiang University(Sciences Edition),2000,27(2):167-170. |
| |
| Authors: | C HEN Wei-xin |
| |
| Institution: | (Department of Mathematics, Zhejiang University , Hangzhou 310027,China) |
| |
| Abstract: | This paper is a sequel to Reference 1 ]. Firstly the inverse theorem of a main theorm in reference 1] w as proved. Thus a property P satisfying some conditions of elements and a radical property R determine each other. Secondly the uniqueness of this determination w as studied. Lastly with these results it w as obtained that the Baer radical of Γ-rings is a radical determined by mnilpotency of elements. |
| |
| Keywords: | Γ-ring element P-property radical class Baer radical (prime radical) |
| 本文献已被 维普 等数据库收录！ |
| 点击此处可从《浙江大学学报(理学版)》浏览原始摘要信息 |
| 点击此处可从《浙江大学学报(理学版)》下载免费的PDF全文 |
