| 论Clean微分环的性质及其扩张 |
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| 引用本文： | 唐再良,张清.论Clean微分环的性质及其扩张[J].绵阳师范学院学报,2007,26(8):10-13. |
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| 作者姓名： | 唐再良 张清 |
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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： | 在W.K.Nicholson,Y.Zhou给出的一般clean微分环的定义基础上,首先讨论了Clean微分环的几个重要性质,然后对在一定条件下Clean微分环是Morita不变量进行了论述,并在此基础上进一步讨论了一般clean微分环的几个扩张性质。
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| 关 键 词： | clean微分环 Von Neumann正则微分环 一般clean微分环 Morita不变量 |
| 文章编号： | 1672-612x（2007）08-0010-04 |
| 修稿时间： | 2007-06-30 |
A Discussion on General Clean Differential Rings and Its Extensions |
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| TANG Zai-liang,ZHANG Qing.A Discussion on General Clean Differential Rings and Its Extensions[J].Journal of Mianyang Normal University,2007,26(8):10-13. |
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| Authors: | TANG Zai-liang ZHANG Qing |
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| Institution: | Department of Mathematics and Information Science, Mianyang Normal University,Mianyang,Sichuan 621000 |
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| Abstract: | In this paper,we follow the definition of general clean differential rings given by W.K.Nicholson and Y.Zhou.Firstly,we study several important properties of clean differential rings.Secondly,we prove that clean differential rings are invariable to Morita.Last,based the above study,we further discuss some extending properties of general clean differential rings. |
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| Keywords: | clean differential rings Von Neumann regular differential rings general clean differential rings Morita invariant |
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