References
M. Auslander andI. Reiten, Modules determined by their composition factors. III. J. of Math.29, 280–301 (1985).
I. Assem andA. Skowronski, Algebras with cycle-finite derived categories. Math. Ann.280, 441–463 (1988).
W. Geigle andH. Lenzing, A class of weighted projective curves arising in the representation theory of finite dimensional algebras. In: Singularities, Representations of Algebras, and Vector Bundles. LNM1273, 265–297, Berlin-Heidelberg-New York 1987.
W. Geigle andH. Lenzing, Perpendicular categories with applications to representations and sheaves. J. Algebra144, 273–343 (1991).
D.Happel, Triangulated categories in the representation theory of finite dimensional algebras. London Math. Soc. Lecture Notes Ser.119 (1988).
D.Happel, I.Reiten and S.Smalø, Tilting in abelian categories and quasitilted algebras. To appear in Mem. Amer. Math. Soc.
D. Happel, J. Rickard andS. Schofield, Piecewise hereditary algebras. Bull. London Math. Soc.20, 23–28 (1988).
D. Happel andC. M. Ringel, Tilted algebras. Trans. Amer. Math. Soc.274, 399–443 (1982).
T.Hübner and H.Lenzing, Categories perpendicular to exceptional bundles. Preprint.
H.Lenzing, Hereditary noetherian categories with a tilting complex. Preprint.
C. M.Ringel, Tame algebras and integral quadratic forms. LNM1099, Berlin-Heidelberg-New York 1984.
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Happel, D., Reiten, I. & Smalø, S. Piecewise hereditary algebras. Arch. Math 66, 182–186 (1996). https://doi.org/10.1007/BF01195702
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DOI: https://doi.org/10.1007/BF01195702