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Zapiski Nauchnykh Seminarov POMI, 2002, Volume 289, Pages 214–232 (Mi znsl1604)  
This article is cited in 1 scientific paper (total in 1 paper)

Purities and pure injective modules over serial right noetherian rings

I. M. Zilberbord

Saint-Petersburg State University
Full-text PDF (260 kB) Citations (1)
Abstract: It is proved that any submodule of direct sum of some family of finitely generated right modules over serial right noetherian ring $R$ is also a direct sum of finitely generated modules. With use of reduction to serial right hereditary rings we obtained a new description of all indecomposable pure injective noninjective right modules over serial right noetherian rings.
Received: 09.11.2002
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 124, Issue 1, Pages 4796–4805
DOI: https://doi.org/10.1023/B:JOTH.0000042315.64899.9a
Bibliographic databases:
UDC: 512.55
Language: Russian
Citation: I. M. Zilberbord, “Purities and pure injective modules over serial right noetherian rings”, Problems in the theory of representations of algebras and groups. Part 9, Zap. Nauchn. Sem. POMI, 289, POMI, St. Petersburg, 2002, 214–232; J. Math. Sci. (N. Y.), 124:1 (2004), 4796–4805
Citation in format AMSBIB
\Bibitem{Zil02}
\by I.~M.~Zilberbord
\paper Purities and pure injective modules over serial right noetherian rings
\inbook Problems in the theory of representations of algebras and groups. Part~9
\serial Zap. Nauchn. Sem. POMI
\yr 2002
\vol 289
\pages 214--232
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1604}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1949742}
\zmath{https://zbmath.org/?q=an:1070.16024}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 124
\issue 1
\pages 4796--4805
\crossref{https://doi.org/10.1023/B:JOTH.0000042315.64899.9a}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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