| 关于有限生成模嵌入自由模的条件 |
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| 引用本文： | 乌成伟. 关于有限生成模嵌入自由模的条件[J]. 吉林工学院学报, 1992, 13(2): 1-5 |
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| 作者姓名： | 乌成伟 |
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| 作者单位： | 吉林工学院基础科学系 |
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| 摘 要： | 本文给出了一般非拟Frobenius环上有限生成模嵌入自由模的检验方法，即通过内零化子及其链条件和嵌入自由模的给数的检验法。
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| 关 键 词： | 内零化子 链条件 Frobenius环 有限生成模 自由模 同态象 |
On the Conditions Embedding a Finitely Generated Module Into a Free Module |
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| Wu Chengwei. On the Conditions Embedding a Finitely Generated Module Into a Free Module[J]. Journal of Jilin Institute of Technology, 1992, 13(2): 1-5 |
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| Authors: | Wu Chengwei |
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| Affiliation: | Department of Basic Science |
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| Abstract: | Testing methods for embedding a finitely generated module over the ordinary non-Frobenius ring into a free module is shown. The methods consist of tesiting by the inner annulet with its chain conditions and by the dimensions of the free module embedded . |
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| Keywords: | left (right) inner annulet descending (ascending) chain condition |
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