| 带Morita对偶的偏序集环 |
| |
| 引用本文： | 朱彬,王文举.带Morita对偶的偏序集环[J].数学研究及应用,1998,18(2):273-276. |
| |
| 作者姓名： | 朱彬 王文举 |
| |
| 作者单位： | 北京师范大学数学系;首都经贸大学经济信息管理系 |
| |
| 摘 要： | 设Ｒ是有１的结合环，Ｉ是任意偏序集，ＲＩ是Ｒ上Ｉ的偏序集环．本文考虑了带对偶的偏序集环，得到：ＲＩ带Ｍｏｒｉｔａ对偶当且仅当Ｒ带Ｍｏｒｉｔａ对偶．推广了已有的在Ｒ是有限偏序集时的有关结果
|
| 关 键 词： | 偏序集环 离散线性紧 Morita对偶 |
| 收稿时间： | 1995/6/10 0:00:00 |
Poset Rings with Morita Duality |
| |
| Zhu Bin and Wang Wenju.Poset Rings with Morita Duality[J].Journal of Mathematical Research with Applications,1998,18(2):273-276. |
| |
| Authors: | Zhu Bin and Wang Wenju |
| |
| Institution: | Dept. of Math. Beijing Normal University; 100875;Capital University of Economics and Business; Beijing 100026 |
| |
| Abstract: | Let R be an associate ring with identity, I be a poset, RI be the poset ring of I over R . The following result is obtained: RI has Morita duality iff R has Morita duality. This extends the known result about the poset ring in the case I that is finite. |
| |
| Keywords: | poset ring discret linear compact Morita duality |
| 本文献已被 CNKI 维普 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 |
