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Mathematics of the USSR-Sbornik, 1980, Volume 37, Issue 3, Pages 327–335
DOI: https://doi.org/10.1070/SM1980v037n03ABEH001955 (Mi sm2388) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Two problems in the Galois theory of differential fields for the field of formal power series

N. V. Grigorenko
English version PDF (596 kB) Citations (1)
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DOI: https://doi.org/10.1070/SM1980v037n03ABEH001955
Abstract: The direct problem in the Galois theory of differential fields for a homogeneous linear differential equation of the second order over the field $\mathbf C((X))$ is solved, and a classification of $SL(2)$-extensions and a description of the Picard–Vessiot extensions of this field are given.
Bibliography: 5 titles.
Received: 06.07.1978
Russian version:
Matematicheskii Sbornik. Novaya Seriya, 1979, Volume 109(151), Number 3(7), Pages 355–364
Bibliographic databases:
UDC: 512.628.2
MSC: 12A55, 12H05
Language: English
Original paper language: Russian
Citation: N. V. Grigorenko, “Two problems in the Galois theory of differential fields for the field of formal power series”, Mat. Sb. (N.S.), 109(151):3(7) (1979), 355–364; Math. USSR-Sb., 37:3 (1980), 327–335
Citation in format AMSBIB
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\by N.~V.~Grigorenko
\paper Two problems in the Galois theory of differential fields for the field of formal power series
\jour Mat. Sb. (N.S.)
\yr 1979
\vol 109(151)
\issue 3(7)
\pages 355--364
\mathnet{http://mi.mathnet.ru/sm2388}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=542805}
\zmath{https://zbmath.org/?q=an:0442.12020|0416.12013}
\transl
\jour Math. USSR-Sb.
\yr 1980
\vol 37
\issue 3
\pages 327--335
\crossref{https://doi.org/10.1070/SM1980v037n03ABEH001955}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1980KT31500002}
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  • https://doi.org/10.1070/SM1980v037n03ABEH001955
  • https://www.mathnet.ru/eng/sm/v151/i3/p355
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник (новая серия) - 1964–1988 Sbornik: Mathematics
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    Abstract page:246
    Russian version PDF:116
    English version PDF:6
    References:24
     
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