Existence of \(\partial\)-parameterized Picard-Vessiot extensions over fields with algebraically closed constants
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Publication:1931688
DOI10.1016/j.jalgebra.2012.03.035zbMath1280.12003arXiv1104.3514OpenAlexW2963375042MaRDI QIDQ1931688
Publication date: 15 January 2013
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1104.3514
parameterized Picard-Vessiot theorydifferential algebraic groupsparameterized Galois theory of linear difference-differential equations
Related Items (18)
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Cites Work
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- Parameterized Picard-Vessiot extensions and Atiyah extensions
- Descent for differential Galois theory of difference equations: confluence and \(q\)-dependence
- A Chevalley theorem for difference equations
- Differential Galois theory of linear difference equations
- Involution. The formal theory of differential equations and its applications in computer algebra
- Tannakian categories, linear differential algebraic groups, and parametrized linear differential equations
- A Hopf algebraic approach to the Picard-Vessiot theory
- Galois theory of difference equations
- Constrained extensions of differential fields
- A course in model theory. An introduction to contemporary mathematical logic. Transl. from the French by Moses Klein
- Picard-Vessiot extensions of Artinian simple module algebras.
- Difference algebra
- Monodromy groups of parameterized linear differential equations with regular singularities
- On σδ-Picard–Vessiot Extensions
- Galois theory for iterative connections and nonreduced Galois groups
- Hopf Algebraic Approach to Picard-Vessiot Theory
- Generalized differential Galois theory
- The differential Galois theory of strongly normal extensions
- Jacobi's Bound for the Order of Systems of First Order Differential Equations
- Galois theory of parameterized differential equations and linear differential algebraic groups
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