Abstract
We discuss model category structures on abelian categories arising from resolution dimensions. In particular, suppose the subcategory of projective objects is an injective cogenerator of X, where X is a resolving subcategory contained in the subcategory of Gorenstein projective objects. We can conclude that X is Frobenius and the stable category is given by the homotopy category of a corresponding model structure.
Original language | English |
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Pages (from-to) | 3699-3704 |
Number of pages | 6 |
Journal | Proceedings of the American Mathematical Society |
Volume | 148 |
Issue number | 9 |
DOIs | |
Publication status | Published - Sept 2020 |
Externally published | Yes |