2005年3月
Picard-Vessiot extensions of artinian simple module algebras
JOURNAL OF ALGEBRA
- ,
- 巻
- 285
- 号
- 2
- 開始ページ
- 743
- 終了ページ
- 767
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1016/j.jalgebra.2004.12.006
- 出版者・発行元
- ACADEMIC PRESS INC ELSEVIER SCIENCE
This paper pursues Takeuchi's Hopf algebraic approach [M. Takeuchi, A Hopf algebraic approach to the Picard-Vessiot theory, J. Algebra 122 (1989) 481-509] to the Picard-Vessiot (PV) theory for differential equations, to involve the PV extensions of difference equations. Differential fields and total difference rings in the standard PV theory are unified here by artinian simple (AS) module algebras over a cocommatative, pointed smooth Hopf algebra. (c) 2004 Elsevier Inc. All rights reserved.
- リンク情報
- ID情報
-
- DOI : 10.1016/j.jalgebra.2004.12.006
- ISSN : 0021-8693
- Web of Science ID : WOS:000227535500018