\(H\)-fields and their Liouville extensions
type: Item
instance of: scholarly article
title: \(H\)-fields and their Liouville extensions
zbMATH Open document ID: 1066.12002
author: Matthias Aschenbrenner
author: Lou van den Dries
published in: Mathematische Zeitschrift
publication date: 2004-06-17T00:00:00Z
review text: The authors introduce the notion of \(H\)-field in order to study relations between Hardy fields and the fields of logarithmic-exponential series. In the category of \(H\)-fields it is possible to define Liouville extensions and Liouville closures. The main result of the paper is a theorem that for an \(H\)-field there exist at most two Liouville closures. The paper is the second in a series of papers by the same authors related with the model theory of ordered differential fields. For the first see [J. Algebra 225, No.1, 309-358 (2000; Zbl 0974.12015)].
reviewed by: Zbigniew Hajto
Mathematics Subject Classification ID: 12H05
Mathematics Subject Classification ID: 03C10
zbMATH DE Number: 2075744
zbMATH Keywords: H-fields
zbMATH Keywords: Hardy fields
zbMATH Keywords: Liouville extensions
zbMATH Keywords: LE-series
zbMATH Keywords: model completion
MaRDI profile type: Publication
DOI: 10.1007/S002090100358
description: scientific article; zbMATH DE number 2075744