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.
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].
出处
《数学杂志》
CSCD
北大核心
2011年第1期19-27,共9页
Journal of Mathematics
基金
Supported by NNSF of China (10471121
10771183)
Sino-German project(GZ310)
Agricultural Machinery Bureau Foundation of Jiangsu Province(GXZ08001)
关键词
余矩阵余环
伴随函子
范畴等价
comatrix coring
adjoint functor
equivalences between categories
