李园, 姚海楼. 余倾斜挠类和包络余模[J]. 北京工业大学学报, 2021, 47(12): 1388-1394. DOI: 10.11936/bjutxb2020050007
    引用本文: 李园, 姚海楼. 余倾斜挠类和包络余模[J]. 北京工业大学学报, 2021, 47(12): 1388-1394. DOI: 10.11936/bjutxb2020050007
    LI Yuan, YAO Hailou. Cotilting Torsion Classes and Envelope Comodules[J]. Journal of Beijing University of Technology, 2021, 47(12): 1388-1394. DOI: 10.11936/bjutxb2020050007
    Citation: LI Yuan, YAO Hailou. Cotilting Torsion Classes and Envelope Comodules[J]. Journal of Beijing University of Technology, 2021, 47(12): 1388-1394. DOI: 10.11936/bjutxb2020050007

    余倾斜挠类和包络余模

    Cotilting Torsion Classes and Envelope Comodules

    • 摘要: 为了研究余代数中余倾斜挠类和包络余模之间的关系,首先引入余模的(预)包络和finendo的定义并研究它们的性质.然后,引入极大余倾斜余模和包络余模,并证明余倾斜挠类和极大余倾斜余模之间存在一个双射.最后,得到了在余代数上当余倾斜挠类是包络类时,它可以由包络余模唯一表示.

       

      Abstract: To study the relationship between cotilting torsion classes and envelope comodules over a coalgebra, the definitions of (pre)envelopes and finendo for comodules were first introduced and their properties were studied. Then, the maximal cotilting comodules and envelope comodules were introduced, improving that there exists a bijection between the cotilting torsion classes and the maximal cotilting comodules. Finally, it is represented by envelope comodules over a coalgebra when the cotilting torsion class is an envelope class.

       

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