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
Created on May 20, 2011 20:38:04
by Zoran Škoda