Publikation: The differential rank of a differential-valued field
Lade...
Dateien
Zu diesem Dokument gibt es keine Dateien.
Datum
2019
Autor:innen
Herausgeber:innen
ISSN der Zeitschrift
Electronic ISSN
ISBN
Bibliografische Daten
Verlag
Schriftenreihe
Auflagebezeichnung
DOI (zitierfähiger Link)
ArXiv-ID
Internationale Patentnummer
Angaben zur Forschungsförderung
Projekt
Open Access-Veröffentlichung
Sammlungen
Core Facility der Universität Konstanz
Titel in einer weiteren Sprache
Publikationstyp
Zeitschriftenartikel
Publikationsstatus
Published
Erschienen in
Mathematische Zeitschrift. 2019, 292(3-4), pp. 1017-1049. ISSN 0025-5874. eISSN 1432-1823. Available under: doi: 10.1007/s00209-018-2132-z
Zusammenfassung
We develop a notion of (principal) differential rank for differential-valued fields, in analog of the exponential rank developed in Kuhlmann (The Fields Institute Monograph Series 12, 2000) and of the difference rank developed in Kuhlmann (Groups, Modules and Model Theory—Surveys and Recent Developments in Memory of Rdiger Gbel, pp 399–414, 2017). We give several characterizations of this rank. We then give a method to define a derivation on a field of generalized power series and use this method to show that any totally ordered set can be realized as the principal differential rank of a H-field.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
510 Mathematik
Schlagwörter
Valuation, Differential field, Differential-valued field, H-field, Asymptotic couple, Generalized power series
Konferenz
Rezension
undefined / . - undefined, undefined
Zitieren
ISO 690
KUHLMANN, Salma, Gabriel LEHÉRICY, 2019. The differential rank of a differential-valued field. In: Mathematische Zeitschrift. 2019, 292(3-4), pp. 1017-1049. ISSN 0025-5874. eISSN 1432-1823. Available under: doi: 10.1007/s00209-018-2132-zBibTex
@article{Kuhlmann2019diffe-40733.2,
year={2019},
doi={10.1007/s00209-018-2132-z},
title={The differential rank of a differential-valued field},
number={3-4},
volume={292},
issn={0025-5874},
journal={Mathematische Zeitschrift},
pages={1017--1049},
author={Kuhlmann, Salma and Lehéricy, Gabriel}
}RDF
<rdf:RDF
xmlns:dcterms="http://purl.org/dc/terms/"
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:bibo="http://purl.org/ontology/bibo/"
xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#"
xmlns:foaf="http://xmlns.com/foaf/0.1/"
xmlns:void="http://rdfs.org/ns/void#"
xmlns:xsd="http://www.w3.org/2001/XMLSchema#" >
<rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/40733.2">
<dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
<dc:contributor>Lehéricy, Gabriel</dc:contributor>
<dcterms:issued>2019</dcterms:issued>
<dc:language>eng</dc:language>
<dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2019-09-20T08:23:57Z</dcterms:available>
<bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/40733.2"/>
<void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
<dc:creator>Lehéricy, Gabriel</dc:creator>
<dcterms:title>The differential rank of a differential-valued field</dcterms:title>
<dc:contributor>Kuhlmann, Salma</dc:contributor>
<dc:creator>Kuhlmann, Salma</dc:creator>
<dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2019-09-20T08:23:57Z</dc:date>
<dcterms:abstract xml:lang="eng">We develop a notion of (principal) differential rank for differential-valued fields, in analog of the exponential rank developed in Kuhlmann (The Fields Institute Monograph Series 12, 2000) and of the difference rank developed in Kuhlmann (Groups, Modules and Model Theory—Surveys and Recent Developments in Memory of Rdiger Gbel, pp 399–414, 2017). We give several characterizations of this rank. We then give a method to define a derivation on a field of generalized power series and use this method to show that any totally ordered set can be realized as the principal differential rank of a H-field.</dcterms:abstract>
<foaf:homepage rdf:resource="http://localhost:8080/"/>
<dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
</rdf:Description>
</rdf:RDF>Interner Vermerk
xmlui.Submission.submit.DescribeStep.inputForms.label.kops_note_fromSubmitter
Prüfungsdatum der Dissertation
Finanzierungsart
Kommentar zur Publikation
Allianzlizenz
Corresponding Authors der Uni Konstanz vorhanden
Internationale Co-Autor:innen
Universitätsbibliographie
Ja
Begutachtet
Ja
