| 平坦模的某种商模是平坦模的条件 |
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| 引用本文： | 张力宏.平坦模的某种商模是平坦模的条件[J].松辽学刊,1997(4):22-27. |
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| 作者姓名： | 张力宏 |
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| 作者单位： | 四平师范学院!四平136000 |
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| 摘 要： | 设R是满足（accr）的环，M是有限生成R-模，I是R的有限生成理想，且Irad（R）．本文首先证明了若对任意自然数n，M／I”M是平坦模，则M是平坦R-模．但反之不对对此本文证明了当M是平坦模时，M／IM是平坦模的条件．
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| 关 键 词： | （accr）环 局部环 平坦模 |
CONDITIONS THAT SOME QUOTIEN MODULES OF FLATMODULES ARE FLAT MODULES |
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| Zhang Li Hong.CONDITIONS THAT SOME QUOTIEN MODULES OF FLATMODULES ARE FLAT MODULES[J].Songliao Journal (Natural Science Edition),1997(4):22-27. |
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| Authors: | Zhang Li Hong |
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| Institution: | Siping Normal college 136000 |
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| Abstract: | Let R be a ring satifying (acer),M be a finitely gererated R - module, I be finitely generated ideal of R,Irad (R). In the paper,we prove that if M/I'M is flat R-module for each of n,then M is flat R-module,but converse theorem is not. In view of the facts we prove condition that M/I"M is flat modale when M is flat module. |
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| Keywords: | (accr)rings local rings flat modules |
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