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Mathematics of the USSR-Sbornik, 1989, Volume 64, Issue 2, Pages 359–374
DOI: https://doi.org/10.1070/SM1989v064n02ABEH003313
(Mi sm1747)
 

This article is cited in 20 scientific papers (total in 20 papers)

The fundamental theorem of Galois theory

G. Z. Dzhanelidze
References:
Abstract: For arbitrary categories $C$ and $X$ and an arbitrary functor $I\colon C\to X$ the author introduces the notion of an $I$-normal object and proves a general type of fundamental theorem of Galois theory for such objects. It is shown that the normal extensions of commutative rings and central extensions of multi-operator groups are special cases of $I$-normal objects.
Bibliography: 14 titles.
Received: 15.10.1986
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1988, Volume 136(178), Number 3(7), Pages 361–376
Bibliographic databases:
UDC: 512.58+512.7+512.66
MSC: Primary 13B05, 16A74; Secondary 12F10, 18A25, 18B40
Language: English
Original paper language: Russian
Citation: G. Z. Dzhanelidze, “The fundamental theorem of Galois theory”, Mat. Sb. (N.S.), 136(178):3(7) (1988), 361–376; Math. USSR-Sb., 64:2 (1989), 359–374
Citation in format AMSBIB
\Bibitem{Dzh88}
\by G.~Z.~Dzhanelidze
\paper The fundamental theorem of Galois theory
\jour Mat. Sb. (N.S.)
\yr 1988
\vol 136(178)
\issue 3(7)
\pages 361--376
\mathnet{http://mi.mathnet.ru/sm1747}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=959487}
\zmath{https://zbmath.org/?q=an:0677.18003|0653.18002}
\transl
\jour Math. USSR-Sb.
\yr 1989
\vol 64
\issue 2
\pages 359--374
\crossref{https://doi.org/10.1070/SM1989v064n02ABEH003313}
Linking options:
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  • https://doi.org/10.1070/SM1989v064n02ABEH003313
  • https://www.mathnet.ru/eng/sm/v178/i3/p361
  • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:805
    Russian version PDF:550
    English version PDF:31
    References:60
     
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