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A triangulated category is an additive category equipped with the additional structure of an autoequivalence (called the translation functor) and a class of of triangles satisfying certain axioms.

5 votes

Derived categories of (coherent) sheaves of modules: exceptional images, gluing, and proper ...

This is just a slight addition to previous answers of Chris and Anatoly. There are some very beautiful, more-recent-than-the-classical-references papers of Neeman and Lipman-Neeman on (roughly) the …
Thomas Nevins's user avatar