| 短正合列的弱可裂 |
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| 引用本文： | 沈如林.短正合列的弱可裂[J].湖北民族学院学报(哲学社会科学版),2003,21(3):14-16. |
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| 作者姓名： | 沈如林 |
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| 作者单位： | 湖北民族学院数学系 湖北 |
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| 基金项目： | 湖北省教育厅重点项目(99A019). |
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| 摘 要： | 把短正合列的可裂推广到短正合列的弱可裂，并对弱可裂进行了等价刻画，最后还运用左弱可列证明了平坦模的一个充要条件。
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| 关 键 词： | 短正合列 可裂 弱可裂 |
| 文章编号： | 1008-8423(2003)03-0014-03 |
| 修稿时间： | 2003年4月22日 |
Weak Splitting of Short Exact Sequences |
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| SHEN Ru - lin.Weak Splitting of Short Exact Sequences[J].Journal of Hubei Institute for Nationalities(Natural Sciences),2003,21(3):14-16. |
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| Authors: | SHEN Ru - lin |
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| Abstract: | In this paper, the concepts of weakly short splitting exact sequences which are generalized from splits are introduced. The characterizations of weak splits are also studied. Finally, the author proves a proposition about an equivalent condition of flat modules applying with left weak splitting. |
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| Keywords: | short exact sequences splits weak splitting |
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