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| 模范畴与余模范畴之间的等价 |
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董井成,陈惠香
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1. 扬州大学数学科学学院,江苏,扬州,225002;南京农业大学工学院,江苏,南京,210031
2. 扬州大学数学科学学院,江苏,扬州,225002
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| 摘要: |
| 本文研究了环上模范畴与余环上余模范畴.运用可裂叉与余可分余环的性质,得到了以上两个范畴等价的一些充分条件,从而推广了文献[6]中的一些结果.Abstract：In this article,we consider the categories of modules over rings and categories of comodules over corings.By properties of split forks and coseparable corings,we get some sufficient conditions for the equivalence between above two categories.As a consequence,we generalize some results in[6]. |
| 关键词: 余矩阵余环 伴随函子 范畴等价 |
| DOI： |
| 分类号:O154.1 |
| 基金项目:Supported by NNSF of China，Sino-German project，Agricultural Machinery Bureau Foundation of Jiangsu Province |
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| EQUIVALENCE BETWEEN CATEGORIES OF MODULES AND CATEGORIES OF COMODULES |
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DONG Jing-cheng,CHEN Hui-xiang
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DONG Jing-cheng1,2,CHEN Hui-xiang1 (1.School of Math.,Yangzhou University,Yangzhou 225002,China) (2.College of Engineering,Nanjing Agricultural University,Nanjing 210031,China)
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| Abstract: |
| In this article,we consider the categories of modules over rings and categories of comodules over corings.By properties of split forks and coseparable corings,we get some sufficient conditions for the equivalence between above two categories.As a consequence,we generalize some results in[6]. |
| Key words: comatrix coring adjoint functor equivalences between categories |
