| 范畴的推出范畴与平凡扩张 |
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| 引用本文： | 连冠勤,陈清华. 范畴的推出范畴与平凡扩张[J]. 福建师范大学学报(自然科学版), 2012, 28(2): 1-3,26 |
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| 作者姓名： | 连冠勤 陈清华 |
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| 作者单位： | 1. 福建师范大学人民武装学院,福建福州,350007
2. 福建师范大学数学与计算机科学学院,福建福州,350108 |
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| 基金项目： | 国家自然科学基金资助项目(11071040);福建省自然科学基金资助项目(2010J01001) |
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| 摘 要： | 研究Abel范畴的推出范畴与Abel范畴的平凡扩张的关系,证明了Abel范畴推出范畴的平凡扩张与Abel范畴平凡扩张的推出范畴同构.
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| 关 键 词： | Abel范畴 推出范畴 平凡扩张 同构范畴 |
Pushouts Category of Abelian Category and Trivial Extension |
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| LIAN Guan-qin , CHEN Qing-hua. Pushouts Category of Abelian Category and Trivial Extension[J]. Journal of Fujian Teachers University(Natural Science), 2012, 28(2): 1-3,26 |
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| Authors: | LIAN Guan-qin CHEN Qing-hua |
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| Affiliation: | 1.College of Military Studies,Fujian Normal University,Fuzhou 350007,China;2.School of Mathematics and Computer Science,Fujian Normal University,Fuzhou 350108,China) |
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| Abstract: | Study the relation between the pushouts category of Abelian category and the trivial extension of Abelian category and prove that the trivial extension of the pushouts category of Abelian category is isomorphic to the pushouts category of the trivial extension of Abelian category. |
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| Keywords: | Abelian category pushouts category trivial extension isomorphic category |
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