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Matematicheskie Zametki, 1998, Volume 64, Issue 1, Pages 136–142
DOI: https://doi.org/10.4213/mzm1379 (Mi mzm1379) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Maximal submodules and locally perfect rings

A. A. Tuganbaev

Moscow Power Engineering Institute (Technical University)
Full-text PDF (164 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm1379
Abstract: Rings over which every nonzero right module has a maximal submodule are called right Bass rings. For a ring $A$ module-finite over its center $C$, the equivalence of the following conditions is proved:
  • (1) $A$ is a tight Bass ring;
  • (2) $A$ is a left Bass ring;
  • (3) $A/J(A)$ is a regular ring, and $J(A)$ is a right and left $t$-nilpotent ideal.
Received: 02.04.1996
English version:
Mathematical Notes, 1998, Volume 64, Issue 1, Pages 116–120
DOI: https://doi.org/10.1007/BF02307202
Bibliographic databases:
UDC: 512
Language: Russian
Citation: A. A. Tuganbaev, “Maximal submodules and locally perfect rings”, Mat. Zametki, 64:1 (1998), 136–142; Math. Notes, 64:1 (1998), 116–120
Citation in format AMSBIB
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\paper Maximal submodules and locally perfect rings
\jour Mat. Zametki
\yr 1998
\vol 64
\issue 1
\pages 136--142
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\zmath{https://zbmath.org/?q=an:0935.16003}
\transl
\jour Math. Notes
\yr 1998
\vol 64
\issue 1
\pages 116--120
\crossref{https://doi.org/10.1007/BF02307202}
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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