GALOIS EXTENSIONS OF DIFFERENTIAL-ALGEBRAS

Authors
FAHIM A
Citation
A. Fahim, GALOIS EXTENSIONS OF DIFFERENTIAL-ALGEBRAS, Pacific journal of mathematics, 180(1), 1997, pp. 7-40
Citations number
9
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Pacific journal of mathematics → ACNP
ISSN journal
00308730
Volume
180
Issue
1
Year of publication
1997
Pages
7 - 40
Database
ISI
SICI code
0030-8730(1997)180:1<7:GEOD>2.0.ZU;2-B
Abstract
We define the notion of a Galois extension of a differential field; we work with differential algebras which are more easy than differential fields. This definition is geometric and does not use Well's theorem found in Kolchin & Lang. We give the construction of the Picard-Vessio t extension associated to a differential equation; this construction i s similar to the notion of a G-structure due to Bernard.