数学杂志2021，Vol.41Issue(4)：283-297,15.
平凡扩张余代数上的倾斜余模
TILTING COMODULES OVER TRIVIAL EXTENSIONS OF COALGEBRAS
摘要
Abstract
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Key words
trivial extension of coalgebra/tilting comodule/Gorenstein injective comodule/global dimension分类
数理科学引用本文复制引用
李烨暄,姚海楼..平凡扩张余代数上的倾斜余模[J].数学杂志,2021,41(4):283-297,15.基金项目
Supported by National Natural Science Foundation of China(12071120). （12071120）
