Liouville Extensions of Artinian Simple Module Algebras

DOI10.1080/00927870500542796zbMath1145.12003OpenAlexW2069480642MaRDI QIDQ5478691

Katsutoshi Amano

Publication date: 13 July 2006

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/2241/104410

zbMATH Keywords

Hopf algebradifferential algebraPicard-Vessiot theorydifference algebraaffine group schemeLiouville extension

Mathematics Subject Classification ID

Differential algebra (12H05)

Related Items (3)

×_R-BIALGEBRAS ASSOCIATED WITH ITERATIVE q-DIFFERENCE RINGS ⋮ Hopf Algebraic Approach to Picard-Vessiot Theory ⋮ Galois Theory of Difference Equations with Periodic Parameters

Cites Work

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• A Hopf algebraic approach to the Picard-Vessiot theory
• Solving difference equations in finite terms
• Galois theory of difference equations
• Picard-Vessiot extensions of Artinian simple module algebras.
• Separable algebras over commutative rings
• Algebraic matric groups and the Picard-Vessiot theory of homogeneous linear ordinary differential equations
• On Galois Theory of Fields with Operators

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