Abstract
In this chapter we give the basic algebraic results from the differential Galois theory of linear differential equations. Other presentations of some or all of this material can be found in the classics of Kaplansky [151] and Kolchin [162] (and Kolchin’s original papers that have been collected in [25]) as well as the recent book of Magid [183] and the papers [231] and [173].
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© 2003 Springer-Verlag Berlin Heidelberg
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van der Put, M., Singer, M.F. (2003). Picard-Vessiot Theory. In: Galois Theory of Linear Differential Equations. Grundlehren der mathematischen Wissenschaften, vol 328. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-55750-7_1
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DOI: https://doi.org/10.1007/978-3-642-55750-7_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-62916-7
Online ISBN: 978-3-642-55750-7
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