| 交换群层的正合序列与同态定理 |
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| 引用本文： | 林新棋,李长安,陈清华. 交换群层的正合序列与同态定理[J]. 数学研究, 2001, 34(2): 193-198 |
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| 作者姓名： | 林新棋 李长安 陈清华 |
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| 作者单位： | 福建师范大学数学系, |
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| 摘 要： | 在交换群层（简称层）中给出了层的单（满）同态核与上核的泛性定理及正合交换图的一系列结论，进而证明了交换群层的同态（同构）定理。
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| 关 键 词： | 交换群层 正合序列 正合交换图 单同态核 满同态核 同态定理 同构定理 |
| 修稿时间： | 2000-01-13 |
Exact Sequences and Homomorphism Theorems on Sheaf of Abelian Groups |
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| Lin Xinqi Li Changan Chen Qinghua. Exact Sequences and Homomorphism Theorems on Sheaf of Abelian Groups[J]. Journal of Mathematical Study, 2001, 34(2): 193-198 |
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| Authors: | Lin Xinqi Li Changan Chen Qinghua |
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| Abstract: | This paper introduces the concepts of exact sequences and their commutative diagram of sheaf (of Abelian Groups). While it proves the universal property theorems and a series of consequences of kernel and cokernel on sheaf. By means of which it derives the homomorphism (isomorphism) theorems of sheaf. |
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| Keywords: | sheaf of abelian groups exact sequences and their commutative diagram monomorphism (epimorphism) homomorphism (isomorphism) theorems |
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