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Kawada's theorem

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Abelian Group Theory

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 874))

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References

  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.

    MathSciNet  MATH  Google Scholar 

  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. 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. Fuller, K.R.: Weakly symmetric rings of distributive module type. Comm. Alg. 5 (1977), 997–1008.

    Article  MathSciNet  MATH  Google Scholar 

  5. Gabriel, P.: Auslander-Reiten sequences and representation finite algebras. In: Representation Theory I. Springer Lecture Notes 831 (1980), 1–71.

    Google Scholar 

  6. Bongartz, K.; Gabriel, P.: Covering spaces in representation theory. To appear.

    Google Scholar 

  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. Happel, D.; Ringel, C.M.: Tilted algebras. Trans. Amer. Math. Soc. (to appear).

    Google Scholar 

  9. Janusz, G.: Indecomposable modules for finite groups. Ann. Math. 89 (1969), 209–241.

    Article  MathSciNet  MATH  Google Scholar 

  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.

    Article  MATH  Google Scholar 

  11. Köthe, G.: Verallgemeinerte abelsche Gruppen mit hyperkomplexem Operator-ring. Math. Z. 39 (1935), 31–44.

    Article  MathSciNet  MATH  Google Scholar 

  12. Kupisch, H.: Projective Moduln endlicher Gruppen mit zyklischer p-Sylow-Gruppe, J. Algebra 10 (1968), 1–7.

    Article  MathSciNet  MATH  Google Scholar 

  13. Kupisch, H.: Unzerlegbare Moduln endlicher Gruppen mit zyklischer p-Sylow-Gruppe. Math. Z. 108 (1969), 77–104.

    Article  MathSciNet  MATH  Google Scholar 

  14. Kupisch, H.: Symmetrische Algebra mit endlich vielen unzerlegbaren Darstellungen II. J. Reine Angew. Math. 245 (1970), 1–14.

    MathSciNet  MATH  Google Scholar 

  15. Ringel, C.M.: Report on the Brauer-Thrall conjectures. In: Representation theory I, Springer Lecture Notes 831 (1980), 104–136.

    Google Scholar 

  16. Ringel, C.M.: Tame algebras. In: Representation theory I. Springer Lecture Notes 831 (1980), 137–287.

    Google Scholar 

  17. Ringel, C.M.; Tachikawa, H.: QF-3 rings. J. Reine Angew. Math. 272 (1975), 49–72.

    MathSciNet  MATH  Google Scholar 

  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 

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Authors
  1. Claus Michael Ringel
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Rüdiger Göbel Elbert Walker

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© 1981 Springer-Verlag

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Ringel, C.M. (1981). Kawada's theorem. In: Göbel, R., Walker, E. (eds) Abelian Group Theory. Lecture Notes in Mathematics, vol 874. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0090550

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  • DOI: https://doi.org/10.1007/BFb0090550

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10855-9

  • Online ISBN: 978-3-540-38767-1

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