平凡扩张余代数上的倾斜余模  

TILTING COMODULES OVER TRIVIAL EXTENSIONS OF COALGEBRAS

作　　者：李烨暄 姚海楼[1] LI Ye-xuan;YAO Hai-lou(College of Mathematics,Faculty of Science,Beijing University of Technology,Beijing 100124,China)

机构地区：[1]北京工业大学理学部数学学院,北京100124

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).

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.

关 键 词：平凡扩张余代数 倾斜余模 Gorenstein内射余模 总体维数 

分 类 号：O154.2[理学—数学]