Elsevier

Journal of Algebra

Volume 272, Issue 2, 15 February 2004, Pages 643-691
Journal of Algebra

DG quotients of DG categories

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Abstract

Keller introduced a notion of quotient of a differential graded category modulo a full differential graded subcategory which agrees with Verdier's notion of quotient of a triangulated category modulo a triangulated subcategory. This work is an attempt to further develop his theory.

Keywords

DG category
Triangulated category
Derived category
Localization

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Partially supported by NSF grant DMS-0100108.