| 带Morita对偶的偏序集环 |
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| 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 |
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| 作者姓名： | 朱彬 王文举 |
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| 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 |
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| 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
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| 关 键 词： | 偏序集环 离散线性紧 Morita对偶 |
| 收稿时间： | 1995-06-10 |
Poset Rings with Morita Duality |
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| Zhu Bin and Wang Wenju. Poset Rings with Morita Duality[J]. Journal of Mathematical Research with Applications, 1998, 18(2): 273-276 |
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| Authors: | Zhu Bin and Wang Wenju |
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| Affiliation: | Dept. of Math. Beijing Normal University; 100875;Capital University of Economics and Business; Beijing 100026 |
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| 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. |
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| Keywords: | poset ring discret linear compact Morita duality. |
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