We prove that the derived categories of abelian categories have unique enhancements—all
of them, the unbounded, bounded, bounded above and bounded below derived categories …

We prove that the derived category of a Grothendieck abelian category has a unique dg
enhancement. Under some additional assumptions, we show that the same result holds true …

The paper contains general results on the uniqueness of a DG enhancement for triangulated
categories. As a consequence we obtain such uniqueness for the unbounded derived …

We show, for a wide class of abelian categories relevant in representation theory and
algebraic geometry, that the bounded derived categories have no non-trivial strongly finitely …

arXiv:0710.5065v3 [math.AT] 28 Oct 2008 Page 1 arXiv:0710.5065v3 [math.AT] 28 Oct 2008
ON DERIVED CATEGORIES AND DERIVED FUNCTORS SAMSON SANEBLIDZE Abstract …

For a locally presentable abelian category B with a projective generator, we construct the
projective derived and contraderived model structures on the category of complexes …

Cohomology of exact categories and (non-)additive sheaves - ScienceDirect Skip to main
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We introduce one-sided thick subcategories C of an arbitrary preadditive category A and
define a quotient category A/C. When A is abelian, this concept specializes to …

We investigate relative cohomology functors on subcategories of abelian categories via
Auslander-Buchweitz approximations and the resulting strict resolutions. We verify that …

When the exact completion of a category with weak finite limits is a Mal'cev category, it is
possible to combine the universal property of the exact completion and the universal …