One-sided localization in dg categories

The notion of one-sided localization in the homotopy invariant context is developed for dg algebras and dg categories. Applications include a simple construction of derived localization of dg algebras and dg categories, and a refinement of Drinfeld's quotient of pretriangulated dg categories.

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Bibliographic Details
Published in:arXiv.org 2023-07
Main Authors: Chuang, Joseph, Lazarev, Andrey
Format: Article
Language:English
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Localization
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Summary:The notion of one-sided localization in the homotopy invariant context is developed for dg algebras and dg categories. Applications include a simple construction of derived localization of dg algebras and dg categories, and a refinement of Drinfeld's quotient of pretriangulated dg categories.
ISSN:2331-8422