| 关于Nakayama引理的2点注记 |
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| 引用本文： | 陈引兰. 关于Nakayama引理的2点注记[J]. 高师理科学刊, 2010, 30(6): 22-23. DOI: 10.3969/j.issn.1007-9831.2010.06.008 |
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| 作者姓名： | 陈引兰 |
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| 作者单位： | 湖北师范学院数学与统计学院,湖北黄石435002 |
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| 摘 要： | 说明Nakayama引理的2种不同叙述的等价性,将定理中的极大理想条件减弱为包含于极大理想的任一理想,证明其结论仍然成立.同时其推论也有相应的结论成立.
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| 关 键 词： | Nakayama引理 局部环 极大理想 模 |
On two notes of Nakayama lemma |
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| CHEN Yin-lan. On two notes of Nakayama lemma[J]. Journal of Science of Teachers＇College and University, 2010, 30(6): 22-23. DOI: 10.3969/j.issn.1007-9831.2010.06.008 |
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| Authors: | CHEN Yin-lan |
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| Affiliation: | CHEN Yin-lan(School of Mathematics and Statistics,Hubei Normal University,Huangshi 435002,China) |
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| Abstract: | The equivalence of two kinds of Nakayama lemma was narrated.Proved that the Nakayama lemma still holds when an ideal contained in the maximal ideal replaces the maximal ideal.Moreover,its corollaries also hold for this replacement. |
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| Keywords: | Nakayama lemma local ring maximal ideal mode |
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