Publikation:

Definability of Henselian valuations by conditions on the value group

Vorschaubild

Dateien

Krapp_2-kt9azu0cu9f25.pdf
Krapp_2-kt9azu0cu9f25.pdfGröße: 318.48 KBDownloads: 20

Datum

2023

Autor:innen

Herausgeber:innen

Kontakt

ISSN der Zeitschrift

Electronic ISSN

ISBN

Bibliografische Daten

Verlag

Schriftenreihe

Auflagebezeichnung

URI (zitierfähiger Link)
http://nbn-resolving.de/urn:nbn:de:bsz:352-2-kt9azu0cu9f25
DOI (zitierfähiger Link)
https://doi.org/10.1017/jsl.2022.34
ArXiv-ID
http://arxiv.org/abs/2105.09234v2

Internationale Patentnummer

Link zur Lizenz
Urheberrechtlich geschützt

Angaben zur Forschungsförderung

Projekt

Open Access-Veröffentlichung
Open Access Hybrid

Sammlungen

Mathematik und Statistik: Publikationen
Core Facility der Universität Konstanz

Gesperrt bis

Titel in einer weiteren Sprache

Publikationstyp
Zeitschriftenartikel
Publikationsstatus
Published

Erschienen in

The Journal of Symbolic Logic. Cambridge University Press (CUP). 2023, 88(3), pp. 1064-1082. ISSN 0022-4812. eISSN 1943-5886. Available under: doi: 10.1017/jsl.2022.34

Zusammenfassung

Given a henselian valuation, we study its definability (with and without parameters) by examining conditions on the value group. We show that any henselian valuation whose value group is not closed in its divisible hull is definable in the language of rings, using one parameter. Thereby we strengthen known definability results. Moreover, we show that in this case, one parameter is optimal in the sense that one cannot obtain definability without parameters. To this end, we present a construction method for a $t$-henselian non-henselian ordered field elementarily equivalent to a henselian field with a specified value group.

Zusammenfassung in einer weiteren Sprache

Fachgebiet (DDC)
510 Mathematik

Schlagwörter

Konferenz

Rezension
undefined / . - undefined, undefined

Forschungsvorhaben

Organisationseinheiten

Zeitschriftenheft

Zugehörige Datensätze in KOPS

Zitieren

ISO 690KRAPP, Lothar Sebastian, Salma KUHLMANN, Moritz LINK, 2023. Definability of Henselian valuations by conditions on the value group. In: The Journal of Symbolic Logic. Cambridge University Press (CUP). 2023, 88(3), pp. 1064-1082. ISSN 0022-4812. eISSN 1943-5886. Available under: doi: 10.1017/jsl.2022.34
BibTex
@article{Krapp2023Defin-57827,
  year={2023},
  doi={10.1017/jsl.2022.34},
  title={Definability of Henselian valuations by conditions on the value group},
  number={3},
  volume={88},
  issn={0022-4812},
  journal={The Journal of Symbolic Logic},
  pages={1064--1082},
  author={Krapp, Lothar Sebastian and Kuhlmann, Salma and Link, Moritz}
}
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/123456789/57827">
    <dcterms:abstract xml:lang="eng">Given a henselian valuation, we study its definability (with and without parameters) by examining conditions on the value group. We show that any henselian valuation whose value group is not closed in its divisible hull is definable in the language of rings, using one parameter. Thereby we strengthen known definability results. Moreover, we show that in this case, one parameter is optimal in the sense that one cannot obtain definability without parameters. To this end, we present a construction method for a $t$-henselian non-henselian ordered field elementarily equivalent to a henselian field with a specified value group.</dcterms:abstract>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2022-06-22T15:10:48Z</dc:date>
    <dc:contributor>Kuhlmann, Salma</dc:contributor>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dc:contributor>Krapp, Lothar Sebastian</dc:contributor>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2022-06-22T15:10:48Z</dcterms:available>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/57827/1/Krapp_2-kt9azu0cu9f25.pdf"/>
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/57827/1/Krapp_2-kt9azu0cu9f25.pdf"/>
    <dc:contributor>Link, Moritz</dc:contributor>
    <dc:creator>Link, Moritz</dc:creator>
    <dcterms:title>Definability of Henselian valuations by conditions on the value group</dcterms:title>
    <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/57827"/>
    <dcterms:issued>2023</dcterms:issued>
    <dc:rights>terms-of-use</dc:rights>
    <dc:creator>Kuhlmann, Salma</dc:creator>
    <dc:language>eng</dc:language>
    <dc:creator>Krapp, Lothar Sebastian</dc:creator>
  </rdf:Description>
</rdf:RDF>

Interner Vermerk

xmlui.Submission.submit.DescribeStep.inputForms.label.kops_note_fromSubmitter

Kontakt
URL der Originalveröffentl.

Prüfdatum der URL

Prüfungsdatum der Dissertation

Finanzierungsart

Kommentar zur Publikation

Allianzlizenz
Corresponding Authors der Uni Konstanz vorhanden
Internationale Co-Autor:innen
Universitätsbibliographie
Ja
Begutachtet
Ja
Diese Publikation teilen