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Bibliography
Auslancer M., Representation dimension of artin algebras, Queen Mary College Mathematics Notes, London (1971)
Auslander M., Representation theory of artin algebras II, Comm. Algebra 1 (1974), 269–310
Auslander M., Applications of morphisms determined by objects, Proc. Conf. on Representation Theory. Philadelphia (1976) Marcel Dekker (1978), 245–327
Auslander M. and Reiten I., Stable equivalence of dualizing R-varieties, Adv. in Math. 12 (1974), 306–366
Auslander M. and Reiten I., Representation theory of artin algebras III, Comm. Algebra 3 (1975), 239–294
Auslander M. and Reiten I., Representation theory of artin algebras IV, Comm. Algebra 5 (1977), 443–518
Auslander M. and Reiten I., Representation theory of artin algebras V, Comm. Algebra 5 (1977), 519–554
Auslander M. and Reiten I., Representation theory of artin algebras VI, Comm. Algebra 6 (1978), 257–300
Bautista R., Irreducible maps and the radical of a category, preprint
Bautista R., Sections in Auslander-Reiten quivers, Proceedings Int. Conf. Rep. Alg., Ottawa 1979
Bernstein I.N., Gelfand I.M. and Ponomarjow V.A., Coxeter functors and Gabriel's theorem, Uspechi Mat. Nak. 28 (1973); translated in Rus. Math. Surveys 28 (1973), 17–32
Bongartz K., Moduln mit Unterräumen, Diplomarbeit, Bonn (1974)
Bongartz K., Zykellose Algebren sind nicht zügellos, Proceedings Int. Conf. Rep. Alg., Ottawa 1979
Brenner S. and Butler M.C.R., The equivalence of certain functors occuring in the representation theory of artin algebras and species, J. London Math. Soc. 14 (1976), 183–187
Butler M.C.R., The construction of almost split sequences, Proc. London Math. Soc., 40 (1980), 72–86
Dade E.C., Une extension de la théorie de Hall et Higman, J. of Algebra 20 (1972), 570–609
Dlab V. and Ringel C.M., Indecomposable Representations of graphs and algebras, Mem. Amer. Math. Soc., No. 173, Providence (1976)
Donovan P. and Freislich M.R., The representation theory of finite graphs and associated algebras, Carleton Lecture Notes Nr. 5, Ottawa (1973)
Gabriel P., Unzerlegbare Darstellungen I, Man. Math. 6 (1972), 71–103
Gabriel P., Indecomposable representations II, Symp. Math. Inst. Naz. Alta Mat. 11 (1973), 81–104.
Gabriel P., Finite representation type is open, Proc. ICRA 1974, Springer Lecture Notes Nr 488 (1975), 132–155
Gelfand I.M. and Ponomarjow V.A., Problems of linear algebra and classification of quadruples in a finite dimensional vector space, Coll. Math. Soc. Bolyai 5, Tihany (1970), 163–237
Gelfand I.M. and Ponomarjow V.A., Model algebras and representations of graphs, Funkcional Anal. i Priložen 13 (1979), 1–12
Kac V., Infinite root systems, representations of graphs and invariant theory, Invent. Math. 56 (1980), 57–92
Kupisch H. and Scherzler E., Symmetric algebras of finite representation type, Proc. Int. Conf. Rep. Alg., Ottawa 1979
Müller W., Unzerlegbare Moduln über artinschen Ringen, Math. Z. 137 (1974), 197–226
Nazarova L.A., The representations of polyquivers of tame type, Zap. Naučn. Sem. LOMI 71 (1977), 181–206
Nazarova L.A. and Rojter A.V., Categorical matrix problems and the Brauer-Thrall conjecture, preprint, Inst. Math. Acad. Sci., Kiev 1973, translated in Mitt. Math. Sem. Giessen 115 (1975)
Riedtmann Chr., Algebren, Darstellungen, Ueberlagerungen und zurück, Comment. Math.Helv. 55 (1980), 199–224
Riedtmann Chr., Representation-finite selfinjective algebras of class An, Proc. Int. Conf. Rep. Alg., Ottawa (1979)
Ringel C.M., Finite-dimensional hereditary algebras of wild representation type, Math. Z. 161 (1978), 235–255
Ringel C.M., The rational invariants of tame quivers, Invent. Math., to appear
Sélection du Reader's Digest, édition française, No 395, Janvier 1980, 131
Storrer H.H., Rings of quotients of perfect rings, Math. Z. 122 (1971), 151–165
Ulmer F., A flatness criterion in Grothendieck Categories, Invent. Math. 19 (1973), 331–336.
Utumi Y., On quotient rings, Osaka Math. J. 8 (1956), 1–18
Yoshii T., On algebras of bounded representation type, Osaka Math. J. 8 (1956), 51–105
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Gabriel, P. (1980). Auslander-Reiten sequences and representation-finite algebras. In: Dlab, V., Gabriel, P. (eds) Representation Theory I. Lecture Notes in Mathematics, vol 831. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089778
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