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Matematicheskie Zametki, 1970, Volume 7, Issue 3, Pages 359–367
(Mi mzm9517)
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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
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
Linking options:
https://www.mathnet.ru/eng/mzm9517 https://www.mathnet.ru/eng/mzm/v7/i3/p359
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Abstract page: | 226 | Full-text PDF : | 105 | First page: | 1 |
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