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论Clean微分环的性质及其扩张

A Discussion on General Clean Differential Rings and Its Extensions
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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。 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 extencling properties of general clean differential rings.
作者 唐再良 张清
出处 《绵阳师范学院学报》 2007年第8期10-13,共4页 Journal of Mianyang Teachers' College
基金 四川省教育厅重点科研项目(2006A141)
关键词 clean微分环 Yon Neumann正则微分环 一般clean微分环 Morita不变量 clean differential rings Von Neumann regular differential rings general clean differential rings Morita invariant
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