Extensions of uniserial modules

Gabriella D'Este; Fatma Kaynarca; Derya Keskin Tütüncü

doi:10.4171/rsmup/57

Gabriella D'Este ; Fatma Kaynarca ; Derya Keskin Tütüncü

Rendiconti del Seminario Matematico della Università di Padova, Tome 144 (2020), pp. 73-86.

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Résumé

Let $R$ be any ring and let $0 \to A \to B \to C \to 0$ 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 $B = B_{1} \oplus B_{2}$ where $B_{1}$ and $B_{2}$ are indecomposable and at least one of them is uniserial.

Publié le : 2020-12-10

MR Zbl

DOI : 10.4171/rsmup/57

Classification : 16, 00

@article{RSMUP_2020__144__73_0,
     author = {Gabriella D'Este and Fatma Kaynarca and Derya Keskin T\"ut\"unc\"u},
     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},
     mrnumber = {4186447},
     zbl = {1475.16008},
     language = {en},
     url = {http://archive.numdam.org/articles/10.4171/rsmup/57/}
}

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Gabriella D'Este; Fatma Kaynarca; Derya Keskin Tütüncü. Extensions of uniserial modules. Rendiconti del Seminario Matematico della Università di Padova, Tome 144 (2020), pp. 73-86. doi : 10.4171/rsmup/57. http://archive.numdam.org/articles/10.4171/rsmup/57/

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