論文

査読有り
2006年

Liouville extensions of Artinian simple module algebras

COMMUNICATIONS IN ALGEBRA
  • K Amano

34
5
開始ページ
1811
終了ページ
1823
記述言語
英語
掲載種別
研究論文(学術雑誌)
DOI
10.1080/00927870500542796
出版者・発行元
TAYLOR & FRANCIS INC

In a previous article (Amano and Masuoka, 2005), the author and Masuoka developed a Picard-Vessiot theory for module algebras over a cocommutative pointed smooth Hopf algebra D. By using the notion of Artinian simple (AS) D-module algebras, it generalizes and unifies the standard Picard-Vessiot theories for linear differential and difference equations. The purpose of this article is to de. ne the notion of Liouville extensions of AS D-module algebras and to characterize the corresponding Picard-Vessiot group schemes.

Web of Science ® 被引用回数 : 4

リンク情報
DOI
https://doi.org/10.1080/00927870500542796
Web of Science
https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000237381800016&DestApp=WOS_CPL