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JOURNALS // Matematicheskii Sbornik // Archive
Mat. Sb. (N.S.), 1978 Volume 106(148), Number 2(6), Pages 147–153 (Mi sm2561)
On Picard–Vessiot extensions of differential fields

N. V. Grigorenko


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.

UDC: 519.48

MSC: Primary 12H05; Secondary 12F20

Received: 11.07.1977


 English version: Mathematics of the USSR-Sbornik, 1978, 34:6, 701–706

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