# Wydawnictwa / Banach Center Publications / Wszystkie tomy

## Base change for Picard–Vessiot closures

### Tom 94 / 2011

Banach Center Publications 94 (2011), 233-238 MSC: 12H05. DOI: 10.4064/bc94-0-16

#### Streszczenie

The differential automorphism group, over $F$, $\Pi_1(F_1)$ of the Picard–Vessiot closure $F_1$ 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 $E \supset F$, where $C_E$ is also algebraically closed.

#### Autorzy

• Andy R. MagidDepartment of Mathematics
University of Oklahoma
Norman, OK 73019, USA
e-mail

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