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Matematicheskie Zametki, 1970, Volume 7, Issue 3, Pages 359–367 (Mi mzm9517)  

This article is cited in 13 scientific papers (total in 13 papers)

Rings over which every module has a maximal submodule

L. A. Koifman

M. V. Lomonosov Moscow State University
Abstract: We consider Bass's hypothesis on perfect rings. For commutative rings the question is answered positively, which gives a new characterization of commutative perfect rings. An example is constructed which shows that in general the hypothesis is not true.
Received: 10.01.1969
English version:
Mathematical Notes, 1970, Volume 7, Issue 3, Pages 215–219
DOI: https://doi.org/10.1007/BF01093118
Bibliographic databases:
Document Type: Article
UDC: 512.4
Language: Russian
Citation: L. A. Koifman, “Rings over which every module has a maximal submodule”, Mat. Zametki, 7:3 (1970), 359–367; Math. Notes, 7:3 (1970), 215–219
Citation in format AMSBIB
\Bibitem{Koi70}
\by L.~A.~Koifman
\paper Rings over which every module has a maximal submodule
\jour Mat. Zametki
\yr 1970
\vol 7
\issue 3
\pages 359--367
\mathnet{http://mi.mathnet.ru/mzm9517}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=262303}
\zmath{https://zbmath.org/?q=an:0202.32702|0196.06602}
\transl
\jour Math. Notes
\yr 1970
\vol 7
\issue 3
\pages 215--219
\crossref{https://doi.org/10.1007/BF01093118}
Linking options:
  • https://www.mathnet.ru/eng/mzm9517
  • https://www.mathnet.ru/eng/mzm/v7/i3/p359
  • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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