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A Note on k-Abelian Categories

CHEN Jian-hui1,CHEN Qing-hua1,ZHOU Zhen-qiang2(1.School of Mathematics and Computer Science,Fujian Normal University,Fuzhou 350007,China; 2.School of Mathematical Sciences,Xiamen University,Xiamen 361005,China)  
Start with one interesting example,and then put forward and prove in brief the Fitting lemma and the Krull-Schmidt theorem for Abelian categories.Finally,the calculation formula for endomorphism rings of finite length indecomposable objects in k-Abelian categories is presented.
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