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Matematicheskie Zametki, 1997, Volume 61, Issue 3, Pages 407–415
DOI: https://doi.org/10.4213/mzm1514 (Mi mzm1514) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Rings over which each module possesses a maximal submodule

A. A. Tuganbaev

Moscow Power Engineering Institute (Technical University)
Full-text PDF (196 kB) Citations (4)
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DOI: https://doi.org/10.4213/mzm1514
Abstract: Right Bass rings are investigated, that is, rings over which any nonzero right module has a maximal submodule. In particular, it is proved that if any prime quotient ring of a ring $A$ is algebraic over its center, then $A$ is a right perfect ring $\iff$ $A$ is a right Bass ring that contains no infinite set of orthogonal idempotents.
Received: 05.09.1995
English version:
Mathematical Notes, 1997, Volume 61, Issue 3, Pages 333–339
DOI: https://doi.org/10.1007/BF02355415
Bibliographic databases:
UDC: 512.55
Language: Russian
Citation: A. A. Tuganbaev, “Rings over which each module possesses a maximal submodule”, Mat. Zametki, 61:3 (1997), 407–415; Math. Notes, 61:3 (1997), 333–339
Citation in format AMSBIB
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\jour Math. Notes
\yr 1997
\vol 61
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\pages 333--339
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    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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