• Title of article

    Tilting Torsion-Free Classes in the Category of Comodules

  • Author/Authors

    Li ، Yuan College of Applied Sciences - Beijing University of Technology , Yao ، Hailou College of Applied Sciences - Beijing University of Technology

  • From page
    553
  • To page
    567
  • Abstract
    A well-known Assem–Smalϕ theorem on tilting modules plays an important role in tilting theory. In this paper, we prove that a version of Assem–Smalϕ theorem still holds in the category of comodules. Following this result, we characterize the tilting torsion-free classes in the category of comodules using the precover theory.
  • Keywords
    Precover , Tilting comodule , Cofinendo , Tilting torsion , free class
  • Journal title
    Bulletin of the Iranian Mathematical Society
  • Journal title
    Bulletin of the Iranian Mathematical Society
  • Record number

    2744059