Geodesic
Extensions of uniserial modules
Rendiconti del Seminario Matematico della Università di Padova, Tome 144 (2020), pp. 73-86

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Let R be any ring and let 0→A→B→C→0 be an exact sequence of R-modules which does not split with A and C uniserial. Then either B is indecomposable or B has a decomposition of the form B=B 1 ⊕B 2 where B 1 and B 2 are indecomposable and at least one of them is uniserial.

Publié le :
DOI : 10.4171/rsmup/57
Classification : 16, 00 
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     author = {D'Este, Gabriella and Kaynarca, Fatma and Keskin T\"ut\"unc\"u, Derya},
     title = {Extensions of uniserial modules},
     journal = {Rendiconti del Seminario Matematico della Universit\`a di Padova},
     pages = {73--86},
     volume = {144},
     year = {2020},
     doi = {10.4171/rsmup/57},
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     zbl = {1475.16008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/rsmup/57/}
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D'Este, Gabriella; Kaynarca, Fatma; Keskin Tütüncü, Derya. Extensions of uniserial modules. Rendiconti del Seminario Matematico della Università di Padova, Tome 144 (2020), pp. 73-86. doi: 10.4171/rsmup/57

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