| 关于有限群模范畴的商范畴及其等价函子 |
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| 引用本文： | 黄文林.关于有限群模范畴的商范畴及其等价函子[J].浙江大学学报(理学版),1959,46(6):651-655. |
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| 作者姓名： | 黄文林 |
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| 基金项目： | 国家自然科学基金资助项目（10826057）;中国人民大学数学学院自然科学基金扶持计划项目. |
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| 摘 要： | 将所有能被p-可除kG-模分解的同态映射做成一个理想，利用该理想构造了有限群G的模范畴的商范畴，分析了该商范畴中的零对象，并得到该商范畴的3个等价函子。
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| 关 键 词： | p-可除模 模范畴 商范畴 等价 |
| 收稿时间： | 2017-06-05 |
On the quotient category of the module category of a finite group and its equivalence |
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| HUANG Wenlin.On the quotient category of the module category of a finite group and its equivalence[J].Journal of Zhejiang University(Sciences Edition),1959,46(6):651-655. |
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| Authors: | HUANG Wenlin |
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| Affiliation: | School of Mathematics, Renmin University of China, Beijing 100872, China |
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| Abstract: | We found that the class of the homomorphisms which can be decomposed by a p-divisible module is an ideal of the module category of a finite group, so we construct the quotient category of this module category, check the zero objects and produce three equivalence functors of this quotient category. |
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| Keywords: | p-divisible module module category quotient category equivalence |
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