Extensions of uniserial modules

  • Gabriella D'Este

    Università degli Studi di Milano, Italy
  • Fatma Kaynarca

    University of Afyon Kocatepe, Afyonkarahisar, Turkey
  • Derya Keskin Tütüncü

    Hacettepe University, Beytepe, Ankara, Turkey
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Let be any ring and let be an exact sequence of -modules which does not split with and uniserial. Then either is indecomposable or has a decomposition of the form where and are indecomposable and at least one of them is uniserial.

Cite this article

Gabriella D'Este, Fatma Kaynarca, Derya Keskin Tütüncü, Extensions of uniserial modules. Rend. Sem. Mat. Univ. Padova 144 (2020), pp. 73–86

DOI 10.4171/RSMUP/57