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| 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. |
| 关键词: 平凡扩张余代数 倾斜余模 Gorenstein内射余模 总体维数 |
| DOI： |
| 分类号:O154.2 |
| 基金项目:Supported by National Natural Science Foundation of China(12071120). |
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| TILTING COMODULES OVER TRIVIAL EXTENSIONS OF COALGEBRAS |
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LI Ye-xuan,YAO Hai-lou
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| 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. |
| Key words: trivial extension of coalgebra tilting comodule Gorenstein injective comodule global dimension |
