Base change for Picard-Vessiot closures

• Autorzy: Andy R. Magid
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 12H05: Differential algebra

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2011
• Tom: 94
• Numer: 1
• Strony: 233-238

Daty

wydano

2011

Twórcy

autor

Andy R. Magid

• Department of Mathematics, University of Oklahoma, Norman, OK 73019, USA

Identyfikatory

DOI

10.4064/bc94-0-16