| 关于余模范畴中的挠自由类与覆盖类 |
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| 引用本文： | 李园,姚海楼.关于余模范畴中的挠自由类与覆盖类[J].山东大学学报(理学版),2020,55(8):1-5. |
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| 作者姓名： | 李园 姚海楼 |
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| 作者单位： | 北京工业大学应用数理学院,北京100124;北京工业大学应用数理学院,北京100124 |
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| 基金项目： | 国家自然科学基金资助项目(11671126) |
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| 摘 要： | 对于一个余代数,首先引入了余模的(预)覆盖的概念并给出关于它的一些性质;然后,引入了极大倾斜余模和覆盖余模的概念,并证明倾斜挠自由类和极大倾斜余模之间存在一个双射;最后,得到了在余代数中当倾斜挠自由类是覆盖类时,它是由覆盖余模唯一表示的。
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| 关 键 词： | 覆盖类 极大倾斜 挠自由类 覆盖余模 |
On torsion free class and cover class in category of comodules |
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| LI Yuan,YAO Hai-lou.On torsion free class and cover class in category of comodules[J].Journal of Shandong University,2020,55(8):1-5. |
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| Authors: | LI Yuan YAO Hai-lou |
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| Institution: | College of Applied Sciences, Beijing University of Technology, Beijing 100124, China |
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| Abstract: | For a coalgebra, the concept of(pre)covers for comodules is first introduced and some properties about them are given. Then, the concepts of maximal tilting comodules and cover comodules are given, and the existence of a bijection between the tilting torsion free classes and the maximal tilting comodules is proved. Finally, when the tilting torsion free class is a cover class, whose unique representation by cover comodules over a coalgebra is obtained. |
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| Keywords: | cover class maximal tilting torsion free class cover comodule |
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