Relative D-groups and differential Galois theory in several derivations

DOI10.1090/S0002-9947-2015-06249-7zbMath1375.03041arXiv1212.0102MaRDI QIDQ2944911

Omar León Sánchez

Publication date: 8 September 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.0102

zbMATH Keywords

model theorydifferential Galois theoryD-groups

Mathematics Subject Classification ID

Model-theoretic algebra (03C60) Differential algebra (12H05)

Related Items

On the model companion of partial differential fields with an automorphism ⋮ SOME DEFINABLE GALOIS THEORY AND EXAMPLES ⋮ On parameterized differential Galois extensions ⋮ Differential Galois cohomology and parameterized Picard–Vessiot extensions

Cites Work

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• Unidimensional theories are superstable
• Differential Galois theory. I
• Some foundational questions concerning differential algebraic groups
• Algebraic \(D\)-groups and differential Galois theory
• Geometric axioms for differentially closed fields with several commuting derivations
• Algebraic matric groups and the Picard-Vessiot theory of homogeneous linear ordinary differential equations
• Generalized differential Galois theory
• Differential arcs and regular types in differential fields
• Remarks on Galois cohomology and definability
• The model theory of differential fields with finitely many commuting derivations
• Model Theory
• Galois theory of parameterized differential equations and linear differential algebraic groups