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
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
