A categorical approach to Picard-Vessiot theory

Picard-Vessiot rings are present in many settings like differential Galois theory, difference Galois theory and Galois theory of Artinian simple module algebras. In this article we set up an abstract framework in which we can prove theorems on existence and uniqueness of Picard-Vessiot rings, as wel...

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1. Verfasser: Maurischat, Andreas (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 2017-03-29
In: Theory and applications of categories
Year: 2017, Jahrgang: 32, Heft: 14, Pages: 488-525
ISSN:1201-561X
Online-Zugang:Verlag, Volltext: http://www.tac.mta.ca/tac/volumes/32/14/32-14abs.html
Verlag, Volltext: http://www.tac.mta.ca/tac/volumes/32/14/32-14.pdf
Volltext
Verfasserangaben:Andreas Maurischat
Beschreibung
Zusammenfassung:Picard-Vessiot rings are present in many settings like differential Galois theory, difference Galois theory and Galois theory of Artinian simple module algebras. In this article we set up an abstract framework in which we can prove theorems on existence and uniqueness of Picard-Vessiot rings, as well as on Galois groups corresponding to the Picard-Vessiot rings.
Beschreibung:Gesehen am 20.02.2019
Beschreibung:Online Resource
ISSN:1201-561X