×R-BIALGEBRAS ASSOCIATED WITH ITERATIVE q-DIFFERENCE RINGS

DOI10.1142/S0129167X13500304zbMath1298.12005arXiv1301.1421MaRDI QIDQ5300020

Akira Masuoka, Makoto Yanagawa

Publication date: 24 June 2013

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.1421

zbMATH Keywords

Hopf algebraPicard-Vessiot theoryaffine group scheme\(\times {_R}\)-bialgebraiterative q-difference ring

Mathematics Subject Classification ID

Differential algebra (12H05) Difference algebra (12H10) Hopf algebras and their applications (16T05)

Related Items (2)

Toward quantization of Galois theory ⋮ Generalized differentials and prolongation spaces

Cites Work

• The structure of Hopf algebras with a projection
• A Hopf algebraic approach to the Picard-Vessiot theory
• Groups of simple algebras
• Galois theory of difference equations
• Picard-Vessiot extensions of Artinian simple module algebras.
• Différentielles non commutatives et théorie de Galois différentielle ou aux différences
• Liouville Extensions of Artinian Simple Module Algebras

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