| 分式化时模的模型论性质的保持性 |
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| 引用本文： | 王捍贫.分式化时模的模型论性质的保持性[J].北京大学学报(自然科学版),1997,33(3):368-374. |
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| 作者姓名： | 王捍贫 |
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| 作者单位： | 北京大学计算机系，北京，100871 |
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| 摘 要： | 将环R的分式环S-1R上的模MS-1R“限制”到R上时，模理论的纯性、纯入射性、初等等价、初等嵌入等模型论性质都是保持的。还讨论了(S-1M)S-1R与MR之间模型论性质的保持性。
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| 关 键 词： | 模型论 模理论 分式环 分式模 |
| 收稿时间： | 1997-01-10 |
Preservation of Model theoretic Properties of Modules when It is Fracted |
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| WANG,Hanpin.Preservation of Model theoretic Properties of Modules when It is Fracted[J].Acta Scientiarum Naturalium Universitatis Pekinensis,1997,33(3):368-374. |
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| Authors: | WANG Hanpin |
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| Institution: | Department of Computer Science & Technology, Peking University, Beijing, 100871 |
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| Abstract: | Viewing modules M S -1 R over a fractional ring S -1 R of a ring R as modules M R over R ,It is proved that some model theoretic properties of modules,such as purity,pure embedding,elementary equivalence,elementary embedding,are preserved.The relations of such properties between M R and ( S -1 M) S -1 R are also considered. |
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| Keywords: | model theory theory of modules fractional ring fractional module |
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