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Fundam. Prikl. Mat., 1995, Volume 1, Issue 1, Pages 161–176 (Mi fpm58)  

This article is cited in 1 scientific paper (total in 1 paper)

Connection between the classical ring of quotients of the ring of continuous functions and Riemann integrable functions

V. K. Zakharov

St. Petersburg State University of Technology and Design

Abstract: The small Fine–Gillman–Lambek extension generated by the classical ring of quotients, and the Riemann extension generated by Riemann $\mu$-integrable functions are both characterized as divisible envelopes of the same type of the ring of all bounded continuous functions on the Aleksandrov space. This shows the similarity of these extensions that are rather different by their origin.

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Bibliographic databases:

UDC: 512.552
Received: 01.02.1994

Citation: V. K. Zakharov, “Connection between the classical ring of quotients of the ring of continuous functions and Riemann integrable functions”, Fundam. Prikl. Mat., 1:1 (1995), 161–176

Citation in format AMSBIB
\Bibitem{Zak95}
\by V.~K.~Zakharov
\paper Connection between the classical ring of quotients of the ring of continuous functions and Riemann integrable functions
\jour Fundam. Prikl. Mat.
\yr 1995
\vol 1
\issue 1
\pages 161--176
\mathnet{http://mi.mathnet.ru/fpm58}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=1789357}
\zmath{https://zbmath.org/?q=an:0888.54021}
\elib{http://elibrary.ru/item.asp?id=9163035}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. V. K. Zakharov, A. V. Mikhalev, T. V. Rodionov, “Descriptive spaces and proper classes of functions”, J. Math. Sci., 213:2 (2016), 163–200  mathnet  crossref  mathscinet
  • Фундаментальная и прикладная математика
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