| 论环与模的结构关系 |
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| 引用本文： | 唐再良. 论环与模的结构关系[J]. 四川师范大学学报(自然科学版), 2007, 30(6): 737-739 |
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| 作者姓名： | 唐再良 |
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| 作者单位： | 绵阳师范学院,数学与信息科学系,四川,绵阳,621000 |
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| 摘 要： | 对Von Neumann正则环,Exchange环,CS环和Extending模的理论进行了研究,具体内容包括:(1)对CS环、Von Neumann正则环的关系进行了研究,刻划了它们之间关系;(2)用Extending模对一类Von Neumann正则环进行了刻划;(3)对CS环和Exchange环的关系展开进行了研究,在CS环上刻划了类似于Exchange环的结构.
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| 关 键 词： | Von Neumann正则环 CS环 Exchange环 Extending模刻划 |
| 文章编号： | 1001-8395（2007）06-0737-03 |
| 收稿时间： | 2007-04-10 |
| 修稿时间： | 2007-04-10 |
On Structure Relation of Rings and Modules |
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| TANG Zai-liang. On Structure Relation of Rings and Modules[J]. Journal of Sichuan Normal University(Natural Science), 2007, 30(6): 737-739 |
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| Authors: | TANG Zai-liang |
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| Abstract: | In this paper,the theories about Von Neumann regular rings,Exchange rings,CS rings and Extending modules are investigated.The relations between CS rings and Neumann regular rings are discussed and the relations of them are given.And then a special class of Von Neumann regular rings is characterized via Extending modules.Finally,the relations between CS rings and Exchange rings are studied and the structure which is similar to Exchange rings is characterized on CS rings. |
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| Keywords: | Von Neumann regular CS ring Exchange ring Exchange modules characterize |
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