Tilting Torsion-Free Classes in the Category of Comodules

A well-known Assem–Smal ϕ theorem on tilting modules plays an important role in tilting theory. In this paper, we prove that a version of Assem–Smal ϕ theorem still holds in the category of comodules. Following this result, we characterize the tilting torsion-free classes in the category of comodule...

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Bibliographic Details
Published in:Bulletin of the Iranian Mathematical Society 2021-04, Vol.47 (2), p.553-567
Main Authors: Li, Yuan, Yao, Hailou
Format: Article
Language:English
Subjects:
Mathematics
Mathematics and Statistics
Original Paper
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Summary:A well-known Assem–Smal ϕ theorem on tilting modules plays an important role in tilting theory. In this paper, we prove that a version of Assem–Smal ϕ 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.
ISSN:1017-060X
1735-8515
DOI:10.1007/s41980-020-00398-2