REFERENCES
- Auslander , M. ( 1978 ). Functors and morphisms determined by objects . Representation theory of Artin algebras. Proceedings of the Philadelphia Conference . Lecture Notes in Pure and Appl. Math . Vol. 37 . New York : Dekker , pp. 1 – 244 .
- Auslander , M. , Reiten , I. ( 1975 ). Representation theory of Artin algebras III . Comm. Algebra 3 : 239 – 294 .
- Balmer , P. , Schlichting , M. ( 2001 ). Idempotent completion of triangulated categories . J. Algebra 236 ( 2 ): 819 – 834 .
- Bautista , R. , Souto Salorio , M. J. , Zuazua , R. ( 2004 ). Almost split conflations for complexes with fixed size . Preprint .
- Beligiannis , A. ( 2002 ). Purity and almost split morphisms in abstract homotopy categories: A unified approach via Brown representability . Algebras and Representation Theory 5 : 483 – 525 .
- Dräxler , P. , Reiten , I. , Smal⊘ , S.O. ( 1999 ). Ø Solberg and with an appendix by B. Keller. Exact categories and vector space categories . Trans. of the A.M.S. 351 ( 2 ): 647 – 682 .
- Gabriel , P. , Roiter , A. V. ( 1992 ). Representations of finite dimensional algebras . In: Kostrikin , A. I. , Shafareivch , I. V. , eds. Algebra VIII . Encyclopaedia of the Mathematical Sciences, 73 . Springer .
- Happel , D. (1987). On the derived category of a finite-dimensional algebras. Comment. Math. Helv. 62:339–389.
- Keller , B. ( 1990 ). Chain complexes and stable categories . Manuscripta Math. 67 ( 4 ): 379 – 417 .
- Keller , B. ( 1994 ). Deriving DG categories . Ann. Sci. École. Norm. Sup. 27 : 63 – 102 .
- Keller , B. ( 1996 ). Derived categories and their uses . Handbook of Algebra . Vol. 1 . North-Holland : Amsterdam , pp. 671 – 701 .
- Krause , H. ( 2000 ). Auslander–Reiten theory via Brown representability . K-theory 20 : 331 – 344 .
- Krause , H. ( 2005 ). The stable derived category of a noetherian scheme . Compos. Math. 141 : 1128 – 1162 .
- Krause , H. , Le , J. ( 2006 ). The Auslander–Reiten formula for complexes of modules . Adv. Math. 207 : 133 – 148 .
- Reiten , I. , Van Den Bergh , M. Noetherian hereditary abelian categories satisfying Serre duality . J. Amer. Math. Soc. 15 : 295 – 366 .
- Communicated by D. Happel.