Liouville closed \(H\)-fields

DOI10.1016/j.jpaa.2004.08.009zbMath1134.12004OpenAlexW2019809727MaRDI QIDQ1772249

Matthias Aschenbrenner, L. P. D. van den Dries

Publication date: 18 April 2005

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2004.08.009

Mathematics Subject Classification ID

Differential algebra (12H05) Ordered fields (12J15)

Related Items (9)

On a differential intermediate value property ⋮ Toward a model theory for transseries ⋮ Liouville closed \(H_T\)-fields ⋮ Hardy type derivations on generalised series fields ⋮ Topological differential fields ⋮ Logarithms of iteration matrices, and proof of a conjecture by Shadrin and Zvonkine ⋮ A structure theorem for abelian quasi-ordered groups ⋮ Valuation bases for generalized algebraic series fields ⋮ The differential rank of a differential-valued field

Cites Work

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• Hardy fields
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• Differential valuations
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• Ordered exponential fields
• Closed asymptotic couples
• Maps on Ultrametric Spaces, Hensel's Lemma, and Differential Equations Over Valued Fields
• Rational Approximation to Solutions of Algebraic Differential Equations
• The Rank of a Hardy Field
• Rank change on adjoining real powers to Hardy fields
• On the Value Group of a Differential Valuation II
• Solving Ordinary Differential Equations in Terms of Series with Real Exponents
• Exponentiation in power series fields
• Logarithmic-Exponential Power Series
• Logarithmic-exponential series

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