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Matematicheskie Zametki, 1976, Volume 20, Issue 2, Pages 187–193 (Mi mzm9980)  
Decomposability of modules into a direct sum of ideals

L. A. Skornyakov

M. V. Lomonosov Moscow State University
Full-text PDF (818 kB)
Abstract: It is shown that each left $R$ module is isomorphic to a direct sum of left ideals of the ring $R$ if and only if $R$ is quasi-Frobenius and generalized uniserial.
Received: 24.11.1975
English version:
Mathematical Notes, 1976, Volume 20, Issue 2, Pages 665–668
DOI: https://doi.org/10.1007/BF01155870
Bibliographic databases:
Document Type: Article
UDC: 512.6
Language: Russian
Citation: L. A. Skornyakov, “Decomposability of modules into a direct sum of ideals”, Mat. Zametki, 20:2 (1976), 187–193; Math. Notes, 20:2 (1976), 665–668
Citation in format AMSBIB
\Bibitem{Sko76}
\by L.~A.~Skornyakov
\paper Decomposability of modules into a direct sum of ideals
\jour Mat. Zametki
\yr 1976
\vol 20
\issue 2
\pages 187--193
\mathnet{http://mi.mathnet.ru/mzm9980}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=419522}
\zmath{https://zbmath.org/?q=an:0335.16030}
\transl
\jour Math. Notes
\yr 1976
\vol 20
\issue 2
\pages 665--668
\crossref{https://doi.org/10.1007/BF01155870}
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