Claus Michael Ringel

Annotated List of Publications 1970 - 1988

• [1] Eine Charakterisierung der Homotopiekategorie der CW-Komplexe. Math. Z. 115 (1970), 359-365.
• [2] Diagonalisierungspaare I, Math. Z. 117 (1970), 249-266.
• [3] Diagonalisierungspaare II, Math. Z. 122 (1971), 10-25.
• [4] Faserungen und Homotopie in Kategorien. Math. Ann. 190 (1971), 215-230.
• [5] Monofunctors as reflectors. Trans. Amer. Math. Soc. 161 (1971), 293-306.
• [6] (mit V. Dlab) Anneaux balanc\'es. C.R. Acad. Sc. Paris A 272, (1971), 1555-1558.
• [7] The intersection property of amalgamations. J. Pure Appl. Algebra 2 (1972), 341-342.
• [8] (mit H. Herrlich) Identities in categories. Can. Math. Bull. 15 (1972), 297-299.
• [9] (mit V. Dlab) Rings with the double centralizer property. J. Algebra 22 (1972), 480-501.
• [10] (mit V. Dlab) A class of balanced non-uniserial rings. Math. Ann. 195 (1972), 279-291.
  (A conterexample to a conjecture of Jans (Math. Ann. 188 (1970).)
• [11] (mit V. Dlab) Balanced local rings with commutative residue fields. Bull. Amer. Math. Soc. 78 (1972), 771-774.
• [12] (mit V. Dlab) Balanced rings. In: Lectures on Rings and Modules. Springer LNM 246 (1972), 73-143.
• [13] (mit V. Dlab) Decomposition of modules over right uniserial rings. Math. Z. 129 (1972), 207-230.
• [14] (mit V. Dlab) The structure of balanced rings. Proc. London Math. Soc. (3) 26 (1973), 446-462.
• [15] (mit V. Dlab) Exceptional rings. Coll. Math. Soc. J. Bolyai 6. Rings, Modules and Radicals. Keszthely (Hungary) 1971, (1973), 167-171.
• [16] (mit V. Dlab) A construction of rings whose injective hull is a ring. Austr. J. Math. 16 (1973), 7-13.
• [17] Socle conditions for QF-1 rings. Pacific J. Math. 44 (1973), 309-336.
• [18] QF-1 rings of global dimenseion $\le 2$. Canad. J. Math. 25 (1973), 345-352.
• [19] (mit V. Dlab) Repr\'esentations indecomposables des alg\`ebres. C.R. Acad. Sc. Paris A 276 (1973), 1393-1396.
• [20] (mit V. Dlab) Sur la conjecture de Brauer-Thrall, C.R. Acad. Sc. Paris A 276 (1973), 1441-1442.
• [21] Commutative QF-1 rings. Proc. Amer. Math. Soc. 42 (1974), 365-368.
• [22] (mit H. Tachikawa) QF-3 rings. J. Reine Angew. Math. 272 (1975), 49-72.
• [23] (mit V. Dlab) On algebras of finite representation type. J. Algebra 33 (1975), 306-394.
• [24] (mit V. Dlab) Repr\'esentations des graphes valu\'es. C.R. Acad. Sc. Paris A 278 (1975), 537-540.
• [25] Unions of chains of indecomposable modules. Comm. Algebra 3 (1975), 1121-1144.
• [26] The indecomposable representations of the dihedral 2-groups. Math. Ann. 214 (1975), 19-34.
• [27] The representation type of local algebras. Proc. ICRA 1974. Springer LNM 488 (1975), 282-305.
• [28] (mit V. Dlab) Indecomposable representations of graphs and algebras. Mem. Amer. Math. Soc. 173 (1976).
• [29] Representations of K-species and bimodules. J. Algebra 41 (1976), 269-302.
• [30] (mit S. Brenner) Pathological modules over tame rings. J. London Math. Soc. 14 (1976), 207-215. Remark
• [31] (mit V. Dlab) Normal forms of real matrices with respect to complex similarity. Linear Alg. and Appl. 17 (1977), 107-124.
• [32] (mit V. Dlab) Real subspaces of a quaternion vector space. Canad. J. Math 30 (1978), 1228-1242.
• [33] (mit S. J\o ndrup) Remarks on a paper by Skornjakov concerning rings for which every module is a direct sum of left ideals. Archiv Math. 31 (1978), 329-331.
• [34] (mit V. Dlab) The representations of tame hereditary algebras. Proc. Philadelphia Conf. 1976. Marcel Dekker (1978), 329-353.
• [35] Finite-dimensional hereditary algebras of wild representation type. Math. Z. 161 (1978), 235-255.
• [36] (mit V. Dlab) A module theoretic interpretation of properties of the root systems. Proc. Conf. Ring Theory Antwerp 1978. Marcel Dekker Lecture Notes Pure Appl. Math 51 (1979), 435-451.
• [37] Infinite dimensional representations of finite dimensional hereditary algebras. Symposia Math. 23 (1979), 321-412.
  Corrections
• [38] The spectrum of a finite dimensional algebra. Proc. Conf. Ring Theory Antwerp 1978. Marcel Dekker Lecture Notes Pure Appl. Math 51 (1979), 535-797.
• [39] (mit K.W. Roggenkamp) Indecomposable representations of orders and Dynkin diagrams. C.R. Acad. Sci. Canada 1 (1979), 91-94.
• [40] (mit K.W. Roggenkamp) Diagrammatic methods in the representation theory of orders. J. Algebra 60 (1979), 11-41.
• [41] (mit K.W. Roggenkamp) Socle determined categories of representations of artinian hereditary algebras. J. Algebra 64 (1980), 249-269.
• [42] (mit V. Dlab) A remark on normal forms of matrices. Linear Alg. and Appl. 30 (1980), 109-114.
• [43] (mit V. Dlab) Perfect elements in the free modular lattices. Math. Ann. 247 (1980), 95-100.
• [44] (mit V. Dlab) The preprojective algebra of a modulated graph. Proceedings ICRA 2. Springer LNM 832 (1980), 216-231.
• [45] (mit P. Dowbor, D. Simson) Hereditary artinian rings of finite representation type. Proceedings ICRA 2. Springer LNM 832 (1980), 232-241.
• [46] (mit D. Happel, U. Preiser) Vinberg's characterization of Dynkin diagrams using subadditive functions with application to DTr-periodic modules. Proc. ICRA 2. Springer LNM 932 (1980), 280-294.
• [47] (mit D. Happel, U. Preiser) Binary polyhedral groups and Euclidean diagrams. Manuscripta math. 31 (1980), 317-329.
• [48] Reflection functors for hereditary algebras. J. London Math. Soc. (2) 21 (1980), 465-479.
• [49] The rational invariants of tame quivers. Invent. Math. 58 (1980), 217-239.
• [50] Report on the Brauer-Thrall conjectures. Proceedings ICRA 2. Springer LNM 831 (1980), 104-136.
• [51] Tame algebras. Proceedings ICRA 2. Springer LNM 831 (1980), 137-287.
• [52] (mit V. Dlab) Eigenvalues of Coxeter transformations and the Gelfand-Kirillov-dimension of preprojective algebras. Proc. Amer. Math. Soc. 83 (1981), 228-232.
• [53] Kawada's theorem. Proceedings Oberwolfach Conf. Abelian Groups. Springer LNM 874 (1981), 431-446.
• [54] (mit D. Happel) Construction of tilted algebras. Proceedings ICRA 3. Springer LNM 903 (1981), 125-167.
• [55] (mit K. Bongartz) Representation-finite tree algebras. Proceedings ICRA 3. Springer LNM 903 (1981), 39-54.
• [56] Four papers on linear algebras. Vorwort zu: Representation theory. Selected papers by I.M. Gelfand et al. London Math. Soc. LN Series 69 (1982), 141-156.
• [57] (mit D. Happel) Tilted algebras. Trans. Amer. Math. Soc. 274 (1982), 399-443.
• [58] Unzerlegbare Darstellungen endlich-dimensionaler Algebren. Jber. d. Dt. Math. Verein. 85 (1983), 86-105.
• [59] Bricks in hereditary length categories. Resultate der Math. 6 (1983), 64-70.
• [60] Separating tubular series. Sem. Malliavin. Springer LNM 1029 (1983), 134-158.
• [61] (mit G. d'Este) Coherent tubes. J. Algebra 87 (1984), 150-201.
• [62] Tame algebras and integral quadratic forms. Springer LNM 1099 (1984).
• [63] Indecomposable representations of finite dimensional algebras. Proceedings International Conference of Mathematicians. Warszawa 1983, (1984), 425-436.
• [64] (mit V. Dlab) A class of bounded hereditary noetherian domains. J. Algebra 92 (1985), 311-321.
• [65] (mit D. Happel) The derived category of a tubular algebra. Proceedings ICRA 4. Springer LNM 1177 (1986), 156-180.
• [66] Representation theory of finite dimensional algebras. Durham Lectures 1985. London Math. Soc. Lecture Note Series 116 (1986), 7-79.
• [67] (mit D. Vossieck) Hammocks. Proc. London Math. Soc. (3) 54 (1987), 216-246.
  Corrections
• [68] (mit M.C.R. Butler) Auslander-Reiten sequences with few middle terms, with applications to string algebras. Comm. Algebra 15 (1987), 145-179.
• [69] The regular components of the Auslander-Reiten quiver of a tilted algebra. Chinese Ann. Math. B. 9 (1988), 1-18.
• [70] (mit E. Marmolejo) Modules of bounded length in Auslander-Reiten components. Archiv Math. 50 (1988), 128-133.