Existential ∅-Definability of Henselian Valuation Rings
| Type of Publication: | Journal article |
| URI (citable link): | http://nbn-resolving.de/urn:nbn:de:bsz:352-0-287143 |
| Author: | Fehm, Arno |
| Year of publication: | 2015 |
| Published in: | The Journal of Symbolic Logic ; 80 (2015), 1. - pp. 301-307. - ISSN 0022-4812. - eISSN 1943-5886 |
| DOI (citable link): | https://dx.doi.org/10.1017/jsl.2014.13 |
| Summary: |
In [1], Anscombe and Koenigsmann give an existential ∅-definition of the ring of formal power series F[[t]] in its quotient field in the case where F is finite. We extend their method in several directions to give general definability results for henselian valued fields with finite or pseudo-algebraically closed residue fields.
|
| Subject (DDC): | 510 Mathematics |
| Keywords: | Henselian valuation, existential definability, finite fields, pseudo-algebraically closed fields |
| Link to License: | In Copyright |
| Bibliography of Konstanz: | Yes |
| xmlui.ArtifactBrowser.ItemViewer.detail.textAllianzLicense | |
Cite This
Files in this item
![[PDF]](/themes/Kops/images/mimes/pdf.png "PDF file"){kind=small}
FEHM, Arno, 2015. Existential ∅-Definability of Henselian Valuation Rings. In: The Journal of Symbolic Logic. 80(1), pp. 301-307. ISSN 0022-4812. eISSN 1943-5886. Available under: doi: 10.1017/jsl.2014.13
@article{Fehm2015Exist-31393, title={Existential ∅-Definability of Henselian Valuation Rings}, year={2015}, doi={10.1017/jsl.2014.13}, number={1}, volume={80}, issn={0022-4812}, journal={The Journal of Symbolic Logic}, pages={301--307}, author={Fehm, Arno} }
<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/123456789/31393"> <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/31393/1/Fehm_0-287143.pdf"/> <dcterms:abstract xml:lang="eng">In [1], Anscombe and Koenigsmann give an existential ∅-definition of the ring of formal power series F[[t]] in its quotient field in the case where F is finite. We extend their method in several directions to give general definability results for henselian valued fields with finite or pseudo-algebraically closed residue fields.</dcterms:abstract> <dc:creator>Fehm, Arno</dc:creator> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2015-07-08T09:11:41Z</dcterms:available> <dc:language>eng</dc:language> <dc:contributor>Fehm, Arno</dc:contributor> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/39"/> <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/31393/1/Fehm_0-287143.pdf"/> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/rdf/resource/123456789/39"/> <dc:rights>terms-of-use</dc:rights> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2015-07-08T09:11:41Z</dc:date> <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/> <dcterms:title>Existential ∅-Definability of Henselian Valuation Rings</dcterms:title> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/31393"/> <dcterms:issued>2015</dcterms:issued> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> </rdf:Description> </rdf:RDF>
Downloads since Jul 8, 2015 (Information about access statistics)
| Fehm_0-287143.pdf | 101 |
This item appears in the following Collection(s)
Search KOPS
Browse
My Account
