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Zapiski Nauchnykh Seminarov POMI, 2001, Volume 281, Pages 170–185 (Mi znsl1494)  
This article is cited in 1 scientific paper (total in 1 paper)

Completion of modules over right noetherian serial rings

A. I. Generalova, I. M. Zilberbordb

a St. Petersburg State University, Department of Mathematics and Mechanics
b Saint-Petersburg State University
Full-text PDF (224 kB) Citations (1)
Abstract: We define a linear topology on arbitrary right module over right noetherian serial ring $R$ that allows to describe reduced pure-injective $R$-modules as modules which are complete in this topology. Using the operation of completion we describe pure-injective envelope of any right $R$-module.
Received: 07.04.2001
English version:
Journal of Mathematical Sciences (New York), 2004, Volume 120, Issue 4, Pages 1583–1590
DOI: https://doi.org/10.1023/B:JOTH.0000017887.20917.3d
Bibliographic databases:
UDC: 512.5
Language: Russian
Citation: A. I. Generalov, I. M. Zilberbord, “Completion of modules over right noetherian serial rings”, Problems in the theory of representations of algebras and groups. Part 8, Zap. Nauchn. Sem. POMI, 281, POMI, St. Petersburg, 2001, 170–185; J. Math. Sci. (N. Y.), 120:4 (2004), 1583–1590
Citation in format AMSBIB
\Bibitem{GenZil01}
\by A.~I.~Generalov, I.~M.~Zilberbord
\paper Completion of modules over right noetherian serial rings
\inbook Problems in the theory of representations of algebras and groups. Part~8
\serial Zap. Nauchn. Sem. POMI
\yr 2001
\vol 281
\pages 170--185
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1494}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1875723}
\zmath{https://zbmath.org/?q=an:1070.16045}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2004
\vol 120
\issue 4
\pages 1583--1590
\crossref{https://doi.org/10.1023/B:JOTH.0000017887.20917.3d}
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  • https://www.mathnet.ru/eng/znsl/v281/p170
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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