Picard-Vessiot theory of differentially simple rings

• Verfasst von: Maurischat, Andreas [VerfasserIn]
• Titel: Picard-Vessiot theory of differentially simple rings
• Verf.angabe: Andreas Maurischat
• Umfang: 20 S.
• Fussnoten: Gesehen am 21.02.2019
• Titel Quelle: Enthalten in: Journal of algebra
• Jahr Quelle: 2014
• Band/Heft Quelle: 409(2014), S. 162-181
• ISSN Quelle: 1090-266X
• DOI: doi:10.1016/j.jalgebra.2014.04.005
• Datenträger: Online-Ressource
• Sprache: eng
• K10plus-PPN: 1587892081

Abstract

Having in mind that the classical Galois theory is a theory of extensions of fields, i.e. of simple rings, it is quite natural to ask whether one can also set up a Picard-Vessiot theory where the base is not a differential field, but more generally a differentially simple ring. It is the aim of this article to give a positive answer to this question, i.e. to set up such a differential Galois theory.