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Picard–Vessiot extensions of artinian simple module algebras
- Source :
-
Journal of Algebra . Mar2005, Vol. 285 Issue 2, p743-767. 25p. - Publication Year :
- 2005
-
Abstract
- Abstract: 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 cocommutative, pointed smooth Hopf algebra. [Copyright &y& Elsevier]
- Subjects :
- *ALGEBRAIC fields
*DIFFERENTIAL equations
*ALGEBRAIC topology
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 00218693
- Volume :
- 285
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of Algebra
- Publication Type :
- Academic Journal
- Accession number :
- 19203815
- Full Text :
- https://doi.org/10.1016/j.jalgebra.2004.12.006