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    Proxy small thick subcategories of derived categories

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    Let R be a commutative noetherian ring. Denote by Db(R) the bounded derived category of finitely generated R-modules. Extending the notion of a proxy small object of Db(R) in the sense of Dwyer, Greenlees, Iyengar and Pollitz, we introduce the notion of a proxy small thick subcategory of Db(R). When R is a locally dominant ring, we give a complete classification of the proxy small thick subcategories of Db(R) in terms of pairs of specialization-closed subsets of SpecR and SingR

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