JournalsrsmupVol. 144pp. 73–86

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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Abstract

Let RR be any ring and let 0ABC00 \rightarrow A\rightarrow B\rightarrow C\rightarrow 0 be an exact sequence of RR-modules which does not split with AA and CC uniserial. Then either BB is indecomposable or BB has a decomposition of the form B=B1B2B=B_{1}\oplus B_{2} where B1B_1 and B2B_2 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