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Matematicheskie Zametki, 1969, Volume 5, Issue 2, Pages 173–182 (Mi mzm6822)  
This article is cited in 6 scientific papers (total in 6 papers)

When are all modules semichain modules?

L. A. Skornyakov

M. V. Lomonosov Moscow State University
Full-text PDF (644 kB) Citations (6)
Abstract: A module is called a chain module if the structure of its submodules forms a chain. It is proven that all left $R$-modules can be decomposed into a direct sum of chain modules if and only if the ring $R$ is generalized uniserial.
Received: 01.07.1968
English version:
Mathematical Notes, 1969, Volume 5, Issue 2, Pages 106–111
DOI: https://doi.org/10.1007/BF01098308
Bibliographic databases:
UDC: 512.4
Language: Russian
Citation: L. A. Skornyakov, “When are all modules semichain modules?”, Mat. Zametki, 5:2 (1969), 173–182; Math. Notes, 5:2 (1969), 106–111
Citation in format AMSBIB
\Bibitem{Sko69}
\by L.~A.~Skornyakov
\paper When are all modules semichain modules?
\jour Mat. Zametki
\yr 1969
\vol 5
\issue 2
\pages 173--182
\mathnet{http://mi.mathnet.ru/mzm6822}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=240146}
\zmath{https://zbmath.org/?q=an:0195.32605|0174.33104}
\transl
\jour Math. Notes
\yr 1969
\vol 5
\issue 2
\pages 106--111
\crossref{https://doi.org/10.1007/BF01098308}
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  • https://www.mathnet.ru/eng/mzm/v5/i2/p173
    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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