摘要
本文研究了平凡扩张余代数上的倾斜余模.在倾斜理论的基础上,首先得到了平凡扩张余代数整体维数的上界,然后获得了平凡扩张余代数上的倾斜余模的等价条件.这些结果推广了倾斜模的结论.
In this paper,we study the tilting comodules over trivial extensions of coalgebras.On the basis of the tilting theory,we get the upper bound of the global dimension of trivial extensions of coalgebras,and then we obtain the equivalent condition for one comodule to be a tilting comodules over trivial extensions of coalgebras.These results generalize the conclusion of tilting modules.
作者
李烨暄
姚海楼
LI Ye-xuan;YAO Hai-lou(College of Mathematics,Faculty of Science,Beijing University of Technology,Beijing 100124,China)
出处
《数学杂志》
2021年第4期283-297,共15页
Journal of Mathematics
基金
Supported by National Natural Science Foundation of China(12071120).
