Quasi-resolving subcategories in triangulated categories

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Abstract

We have introduced the notion of quasi-resolving subcategories in a triangulated category with a proper class of triangles. We provided some criteria for computing the resolution dimension of objects relative to a quasi-resolving subcategory. We also provided a method to construct quasi-resolving subcategories from given ones.

Keywords

triangulated category / proper class of triangle / quasi-resolving subcategory / resolution dimension / Auslander-Buchweitz approximation

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