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《山东大学学报(理学版)》 ›› 2020, Vol. 55 ›› Issue (8): 1-5.doi: 10.6040/j.issn.1671-9352.0.2019.869

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关于余模范畴中的挠自由类与覆盖类

李园,姚海楼*   

  1. 北京工业大学应用数理学院, 北京 100124
  • 发布日期:2020-07-14
  • 作者简介:李园(1986— ),女,博士研究生,研究方向为代数表示论、同调代数、余代数. E-mail:yuanlimath@foxmail.com*通信作者简介:姚海楼(1963— ),男,博士,教授,博士生导师,研究方向为代数表示论. E-mail:yaohl@bjut.edu.cn
  • 基金资助:
    国家自然科学基金资助项目(11671126)

On torsion free class and cover class in category of comodules

LI Yuan, YAO Hai-lou*   

  1. College of Applied Sciences, Beijing University of Technology, Beijing 100124, China
  • Published:2020-07-14

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。

中图分类号: 

  • O153.3
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