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The Picard-Vessiot closure in differential Galois theory

100%

Magid A.

Banach Center Publications

2002

tom 58

nr 1

151-164

Base change for Picard-Vessiot closures

100%

Magid A.

Banach Center Publications

2011

tom 94

nr 1

233-238

The differential automorphism group, over F, Π₁(F₁) of the Picard-Vessiot closure F₁ of a differential field F is a proalgebraic group over the field $C_F$ of constants of F, which is assumed to be algebraically closed of characteristic zero, and its category of $C_F$ modules is equivalent to the category of differential modules over F. We show how this group and the category equivalence behave under a differential extension E ⊃ F, where $C_E$ is also algebraically closed.

Ograniczanie wyników

2 Banach Center Publications

2 Magid A.

1 2011

1 2002

Wyniki wyszukiwania

The Picard-Vessiot closure in differential Galois theory

Base change for Picard-Vessiot closures