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Mathematics of the USSR-Sbornik, 1978, Volume 34, Issue 6, Pages 701–706
DOI: https://doi.org/10.1070/SM1978v034n06ABEH001341 (Mi sm2561) 		 
On Picard–Vessiot extensions of differential fields

N. V. Grigorenko
English version PDF (491 kB) Russian version article
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DOI: https://doi.org/10.1070/SM1978v034n06ABEH001341
Abstract: A characterization is given of Picard–Vessiot elements over a partial differential field of characteristic zero. The structure of such elements that generate extensions of transcendence degree one is described.
Bibliography: 6 titles.
Received: 11.07.1977
Bibliographic databases:
UDC: 519.48
MSC: Primary 12H05; Secondary 12F20
Language: English
Original paper language: Russian
Citation: N. V. Grigorenko, “On Picard–Vessiot extensions of differential fields”, Math. USSR-Sb., 34:6 (1978), 701–706
Citation in format AMSBIB
\Bibitem{Gri78}
\by N.~V.~Grigorenko
\paper On Picard--Vessiot extensions of differential fields
\jour Math. USSR-Sb.
\yr 1978
\vol 34
\issue 6
\pages 701--706
\mathnet{http://mi.mathnet.ru/eng/sm2561}
\crossref{https://doi.org/10.1070/SM1978v034n06ABEH001341}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=491636}
\zmath{https://zbmath.org/?q=an:0387.12010|0413.12025}
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