A Derived Gabriel–Popescu Theorem for t-Structures via Derived Injectives
نویسندگان
چکیده
We prove a derived version of the Gabriel-Popescu theorem in framework dg-categories and t-structures. This exhibits any pretriangulated dg-category with suitable t-structure (such that its heart is Grothendieck abelian category) as t-exact localization dg-modules. give an original proof based on generalization Mitchell's argument "A quick Gabriel-Popesco theorem" involving injective objects. As application, we also short categories have unique dg-enhancement.
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2022
ISSN: ['1687-0247', '1073-7928']
DOI: https://doi.org/10.1093/imrn/rnab367