The differential rank of a differential-valued field

Cite This

Files in this item

Files Size Format View

There are no files associated with this item.

KUHLMANN, Salma, Gabriel LEHÉRICY, 2019. The differential rank of a differential-valued field. In: Mathematische Zeitschrift. 292(3-4), pp. 1017-1049. ISSN 0025-5874. eISSN 1432-1823. Available under: doi: 10.1007/s00209-018-2132-z

@article{Kuhlmann2019diffe-40733.2, title={The differential rank of a differential-valued field}, year={2019}, doi={10.1007/s00209-018-2132-z}, number={3-4}, volume={292}, issn={0025-5874}, journal={Mathematische Zeitschrift}, pages={1017--1049}, author={Kuhlmann, Salma and Lehéricy, Gabriel} }

<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/rdf/resource/123456789/40733.2"> <dc:creator>Lehéricy, Gabriel</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> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/39"/> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/39"/> <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/40733.2"/> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dcterms:title>The differential rank of a differential-valued field</dcterms:title> <dc:contributor>Kuhlmann, Salma</dc:contributor> <dcterms:issued>2019</dcterms:issued> <dc:contributor>Lehéricy, Gabriel</dc:contributor> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dc:creator>Kuhlmann, Salma</dc:creator> <dc:language>eng</dc:language> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2019-09-20T08:23:57Z</dcterms:available> </rdf:Description> </rdf:RDF>

This item appears in the following Collection(s)

Version History

Version Item Date Summary Publication Version

*Selected version

Search KOPS


Browse

My Account