| 一类特殊降链条件的完全环 |
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| 引用本文： | 都本芳.一类特殊降链条件的完全环[J].大连大学学报,2000,21(6):18-20,28. |
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| 作者姓名： | 都本芳 |
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| 作者单位： | 大连大学数学系，辽宁大连116622 |
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| 摘 要： | 本文主要研究了有单位元的主左理想几乎满足降链条件的环为完全环的条件．这对于研究降链条件环的方法与结构都具有十分重要意义．
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| 关 键 词： | 主左理想 右完全环 降链条件 |
Descending Chain Conditions-Perfct Rings |
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| DU Ben-fang.Descending Chain Conditions-Perfct Rings[J].Journal of Dalian University,2000,21(6):18-20,28. |
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| Authors: | DU Ben-fang |
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| Abstract: | Let be a ring almost satisfying the descending chain condition for principal left ideals and has a unity. We have proved that if is a nil semi-simple ring, is right perfect; if the nil radical of the ring is N, J is ideal and N J=0, then J is right perfect ideal of ; if the nil radical of is N, the ideal J is inverse image of J in the ring /N and if J is a right perfect ideal, is right perfect ring. |
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| Keywords: | principal left ideal perfect ring descending chain condition |
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