| 满足右零化子特殊升链条件的环 |
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| 引用本文： | 张力宏,王文举.满足右零化子特殊升链条件的环[J].数学研究及应用,1998,18(4):547-552. |
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| 作者姓名： | 张力宏 王文举 |
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| 作者单位： | 四平师范学院数学系;首都经贸大学经济信息管理系 |
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| 摘 要： | 本文讨论了满足右零化子特殊升链条件的环的性质以及与左、右完备环，ＱＦ－环的关系；给出了满足右零化子特殊升链条件的环中素理想是完全素理想的条件，从而给出了Ｇｏｌｄｉｅ定理的一个应用．
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| 关 键 词： | 右零化子特殊升链条件 右完备环 完全素理想 |
Rings Satisfying a Special Ascending Chain Condition for Right Annihilators |
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| Zhang Lihong and Wang Wenju.Rings Satisfying a Special Ascending Chain Condition for Right Annihilators[J].Journal of Mathematical Research with Applications,1998,18(4):547-552. |
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| Authors: | Zhang Lihong and Wang Wenju |
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| Abstract: | In this paper some properties of the rings satisfying a special ascending chain condition for right annihilators, and some relations to left, ringt perfect rings and QF righs are discussed; As an application of Goldie theorem, a condition is given for a prime ideal is a completely prime ideal in this class of rings. |
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| Keywords: | ascending chain condition for right annihilators right perfect ring completely prime ideal |
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