Kawada's theorem

  • Claus Michael Ringel
Contributed Papers
Part of the Lecture Notes in Mathematics book series (LNM, volume 874)

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Kawada, Y.: On Köthe's problem concerning algebras for which every indecomposable module is cyclic. I–III. Sci. Rep. Tokyo Kyoiku Daigaku 7 (1962), 154–230; 8 (1963), 1–62; 9 (1964), 165–250. Summery I–II: Proc. Japan Acad. 37 (1961), 282–287; 288–293.MathSciNetMATHGoogle Scholar
  2. [2]
    Dlab, V., Ringel, C.M.: The preprojective algebra of a modulated graph. In: Representation Theory II, Springer Lecture Notes 832 (1980), 216–231.Google Scholar
  3. [3]
    Faith, C.: The Basis theorem for modules. A brief survey and a look to the future. In: Ring theory. Marcel Dekker (1978), 9–23.Google Scholar
  4. [4]
    Fuller, K.R.: Weakly symmetric rings of distributive module type. Comm. Alg. 5 (1977), 997–1008.MathSciNetCrossRefMATHGoogle Scholar
  5. [5]
    Gabriel, P.: Auslander-Reiten sequences and representation finite algebras. In: Representation Theory I. Springer Lecture Notes 831 (1980), 1–71.Google Scholar
  6. [6]
    Bongartz, K.; Gabriel, P.: Covering spaces in representation theory. To appear.Google Scholar
  7. [7]
    Happel, D.; Preiser, U.; Ringel, C.M.: Vinberg's characterization of Dynkin diagrams using subadditive functions with application to DTr-periodic modules. In: Representation Theory II, Springer Lecture Notes 832 (1980), 280–294.Google Scholar
  8. [8]
    Happel, D.; Ringel, C.M.: Tilted algebras. Trans. Amer. Math. Soc. (to appear).Google Scholar
  9. [9]
    Janusz, G.: Indecomposable modules for finite groups. Ann. Math. 89 (1969), 209–241.MathSciNetCrossRefMATHGoogle Scholar
  10. [10]
    Jøndrup, S.; Ringel, C.M.: 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.CrossRefMATHGoogle Scholar
  11. [11]
    Köthe, G.: Verallgemeinerte abelsche Gruppen mit hyperkomplexem Operator-ring. Math. Z. 39 (1935), 31–44.MathSciNetCrossRefMATHGoogle Scholar
  12. [12]
    Kupisch, H.: Projective Moduln endlicher Gruppen mit zyklischer p-Sylow-Gruppe, J. Algebra 10 (1968), 1–7.MathSciNetCrossRefMATHGoogle Scholar
  13. [13]
    Kupisch, H.: Unzerlegbare Moduln endlicher Gruppen mit zyklischer p-Sylow-Gruppe. Math. Z. 108 (1969), 77–104.MathSciNetCrossRefMATHGoogle Scholar
  14. [14]
    Kupisch, H.: Symmetrische Algebra mit endlich vielen unzerlegbaren Darstellungen II. J. Reine Angew. Math. 245 (1970), 1–14.MathSciNetMATHGoogle Scholar
  15. [15]
    Ringel, C.M.: Report on the Brauer-Thrall conjectures. In: Representation theory I, Springer Lecture Notes 831 (1980), 104–136.Google Scholar
  16. [16]
    Ringel, C.M.: Tame algebras. In: Representation theory I. Springer Lecture Notes 831 (1980), 137–287.Google Scholar
  17. [17]
    Ringel, C.M.; Tachikawa, H.: QF-3 rings. J. Reine Angew. Math. 272 (1975), 49–72.MathSciNetMATHGoogle Scholar
  18. [18]
    Rojter, A.V.: The unboundedness of the dimensions of the indecomposable representations of algebras that have an infinite number of indecomposable representations. Izv. Acad. Nauk SSR 32 (1968), 1275–1282.Google Scholar

Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • Claus Michael Ringel

There are no affiliations available

Personalised recommendations