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Decomposition of modules over right uniserial rings

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References

  1. Auslander, M.: Representation dimension of artin algebras. Queen Mary College Math. Notes.

  2. Auslander, M., Bridger, M.: Stable module theory. Mem. Amer. Math. Soc.94, Providence 1969.

  3. Bass, H.: Finitistic dimension and a homological generalization of semi-primary rings. Trans. Amer. Math. Soc.95, 466–488 (1960).

    Google Scholar 

  4. Curtis, C.W., Reiner, I.: Representation theory of finite groups and associative algebras. New York: Interscience Publ. 1962.

    Google Scholar 

  5. Dlab, V., Ringel, C.M.: A class of balanced non-uniserial rings. Math. Ann.195, 279–291 (1972).

    Google Scholar 

  6. Dlab, V., Ringel, C.M.: Balanced rings. Lecture Notes in Math.246, 73–143. Berlin-Göttingen-Heidelberg: Springer 1972.

    Google Scholar 

  7. Eisenbud, D., Griffith, P.: The structure of serial rings. Pacific J. Math.36, 109–121 (1971).

    Google Scholar 

  8. Gabriel, P.: Indecomposable representations II. Manuscript.

  9. Roiter, A.V.: Unboundedness of the dimensions of indecomposable representations of algebras having infinitely many indecomposable representations. Izvestija Akad. Nauk SSSR, Ser. Math.32, 1275–1282 (1968).

    Google Scholar 

  10. Tachikawa, H.: Duality theorem of character modules for rings with minimum condition. Math. Z.68, 479–487, (1958).

    Google Scholar 

  11. Tachikawa, H., Ringel, C.M.:QF-3 rings. To appear, in J. Reine Angew. Math.

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Authors and Affiliations

  1. Department of Mathematics, Carleton University, Ottawa, Canada

    Vlastimil Dlab

  2. Mathematisches Institut, Universität Tübbingen, Federal Republic of Germany

    Claus Michael Ringel

Authors
  1. Vlastimil Dlab
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  2. Claus Michael Ringel
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Dlab, V., Ringel, C.M. Decomposition of modules over right uniserial rings. Math Z 129, 207–230 (1972). https://doi.org/10.1007/BF01187349

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