| Abel范畴的正合列与同态定理 |
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| 引用本文： | 周振强,郑碧霞,陈清华.Abel范畴的正合列与同态定理[J].福建师范大学学报(自然科学版),2011,27(1):14-18. |
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| 作者姓名： | 周振强 郑碧霞 陈清华 |
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| 作者单位： | 福建师范大学数学与计算机科学学院;福州职业技术学院; |
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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); 福建省教育厅资助项目(JA06008;JA10297) |
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| 摘 要： | 证明了在Abel范畴中几个有趣的正合交换图命题,并应用其思想得到了Abel范畴的同态定理、短四引理和单满同态分解定理,统一了环模、BCK-代数、交换群层和粗糙模范畴的相关结果.
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| 关 键 词： | 阿贝尔范畴 正合列 伪元素 同态定理 |
Exact Sequences and Homomorphism Theorems of Abelian Categories |
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| ZHOU Zhen-qiang,ZHENG Bi-xia,CHEN Qing-hua.Exact Sequences and Homomorphism Theorems of Abelian Categories[J].Journal of Fujian Teachers University(Natural Science),2011,27(1):14-18. |
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| Authors: | ZHOU Zhen-qiang ZHENG Bi-xia CHEN Qing-hua |
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| Institution: | ZHOU Zhen-qiang1,ZHENG Bi-xia2,CHEN Qing-hua1(1.School of Mathematics and Computer Science,Fujian Normal University,Fuzhou 350007,China,2.Fuzhou Polytechnic Institute,Fuzhou 350001,China) |
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| Abstract: | Prove several interesting propositions about exact sequences commutative diagram in Abelian categories.Along with the ideas of these propositions,the homomorphism theorem,the short four lemma and the homomorphisms decomposition theorem for Abelian categories are given,which generalize the related arguments of the categories of modules,BCK-alegbras,sheaf of abelian groups and rough modules. |
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| Keywords: | Abelian category exact sequence seudo-element homomorphism theorem |
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