MODEL CATEGORIES from RESOLUTION DIMENSIONS

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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 languageEnglish
Pages (from-to)3699-3704
Number of pages6
JournalProceedings of the American Mathematical Society
Volume148
Issue number9
DOIs
Publication statusPublished - Sept 2020
Externally publishedYes

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