algebraic triangulated category

A **triangulated category** is called **algebraic** if it is equivalent to the stable category of a Quillen exact category of a Frobenius category (a Quillen exact category is Frobenius if it has enough injectives and enough projectives and the two classes coincide).

- B. Keller,
*On differential graded categories*, In: Proc. ICM, Madrid, 2006. vol. II, pp. 151–190, Eur. Math. Soc., Zürich (2006) pdf - Stefan Schwede,
*Algebraic versus topological triangulated categories*, in Triangulated categories, 389–407, London Mathematical Society Lecture Notes**375**, Cambridge Univ. Press 2010, MR2681714, pdf. - Fernando Muro, Stefan Schwede, Neil Strickland,
*Triangulated categories without models*, Invent. math.**170**, 231–241 (2007) doi, pdf

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