| 关于余极限范畴(英文) |
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| 引用本文： | 薛蓉华,严益水,陈清华.关于余极限范畴(英文)[J].数学杂志,2012,32(3):439-446. |
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| 作者姓名： | 薛蓉华 严益水 陈清华 |
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| 作者单位： | 1. 福建工程学院数理系,福建福州350108;福建师范大学数学与计算机科学学院,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,350007 |
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| 基金项目： | Supported by NNSF of China，the NSF of Fujian Province，the Education Committee Foundation of Fujian Province，the foundation of research and development of Fujian University of Technology |
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| 摘 要： | 本文研究了余极限范畴.利用余完备Abel范畴的定义,证明了余完备Abel范畴A的余极限范畴Acl是余完备的Abel范畴,并得到一类等价于模范畴的余极限范畴,从而推广了文献9]中的一些结果.
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| 关 键 词： | 余极限 余完备Abel范畴 差核 差余核 模范畴 |
ON COLIMIT-CATEGORIES |
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| XUE Rong-hua
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YAN Yi-shui
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CHEN Qing-hua.ON COLIMIT-CATEGORIES[J].Journal of Mathematics,2012,32(3):439-446. |
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| Authors: | XUE Rong-hua YAN Yi-shui CHEN Qing-hua |
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| Institution: | 1.Department of Mathematics and Physics,Fujian University of Technology,Fuzhou 350108,China)(2.School of Mathematics and Computer Science,Fujian Normal University,Fuzhou 350007,China) |
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| Abstract: | In this article,we consider the colimit-categories.By using the definition of cocomplete abelian categories,we prove that such a colimit-category Acl of cocomplete abelian category A is a cocomplete abelian category and we get a class of colimit-categories which is equivalent to categories of modules.As a consequence,we generalize some results in9]. |
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| Keywords: | colimit-category cocomplete abelian category difference kernel difference cokernel category of modules |
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