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Zapiski Nauchnykh Seminarov POMI, 2000, Volume 272, Pages 129–143 (Mi znsl1365)  
This article is cited in 1 scientific paper (total in 1 paper)

Basic submodules of modules over right noetherian serial rings. I

A. I. Generalov, I. M. Zilberbord

Saint-Petersburg State University
Full-text PDF (213 kB) Citations (1)
Abstract: It is proved that any right module over right noetherian serial ring $R$ contains a basic submodule. The structure of submodules of an indecomposable pure-injective $R$-module is investigated.
Received: 29.06.2000
English version:
Journal of Mathematical Sciences (New York), 2003, Volume 116, Issue 1, Pages 2953–2960
DOI: https://doi.org/10.1023/A:1023446608834
Bibliographic databases:
UDC: 512.5
Language: Russian
Citation: A. I. Generalov, I. M. Zilberbord, “Basic submodules of modules over right noetherian serial rings. I”, Problems in the theory of representations of algebras and groups. Part 7, Zap. Nauchn. Sem. POMI, 272, POMI, St. Petersburg, 2000, 129–143; J. Math. Sci. (N. Y.), 116:1 (2003), 2953–2960
Citation in format AMSBIB
\Bibitem{GenZil00}
\by A.~I.~Generalov, I.~M.~Zilberbord
\paper Basic submodules of modules over right noetherian serial rings.~I
\inbook Problems in the theory of representations of algebras and groups. Part~7
\serial Zap. Nauchn. Sem. POMI
\yr 2000
\vol 272
\pages 129--143
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1365}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1811795}
\zmath{https://zbmath.org/?q=an:1069.16504}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2003
\vol 116
\issue 1
\pages 2953--2960
\crossref{https://doi.org/10.1023/A:1023446608834}
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  • https://www.mathnet.ru/eng/znsl/v272/p129
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    Citing articles in Google Scholar: Russian citations, English citations
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