| 关于有限生成投射模的进一步结果 |
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| 引用本文： | 武同锁. 关于有限生成投射模的进一步结果[J]. 数学学报, 2005, 48(1): 177-180. DOI: cnki:ISSN:0583-1431.0.2005-01-020 |
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| 作者姓名： | 武同锁 |
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| 作者单位： | 上海交通大学应用数学系 |
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| 基金项目： | 国家自然科学基金资助项目 |
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| 摘 要： | 本文研究所有右本原同态象均为阿丁环的调换环,刻画了其K0-群并证明了在有限生成投射模的范畴中关于直和的在同构意义下的n-th root总是唯一的.
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| 关 键 词： | 调换环 K0-群 阿丁条件 |
Further Results on Finitely Generated Projective Modules |
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| Tong Suo WU. Further Results on Finitely Generated Projective Modules[J]. Acta Mathematica Sinica, 2005, 48(1): 177-180. DOI: cnki:ISSN:0583-1431.0.2005-01-020 |
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| Authors: | Tong Suo WU |
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| Affiliation: | Tong Suo WU Department of Applied Mathematics, Shanghai Jiaotong University, Shanghai 200030, P. R. China |
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| Abstract: | In this paper, the exchange rings R whose primitive factor rings are Artinian is studied. The K0-groups of R is characterized and it is proved that the uniqueness of n-th roots always holds in the category of finitely generated projective R-modules. |
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| Keywords: | Exchange ring K0-groups Artinian condition |
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