Symbol length and stability index

Kurzanzeige
dc.contributor.authorBecher, Karim Johannes
dc.contributor.authorGładki, Pawełdeu
dc.date.accessioned2012-03-01T14:13:13Zdeu
dc.date.available2013-04-14T22:25:04Zdeu
dc.date.issued2012
dc.description.abstractWe show that a Pythagorean field (more generally, a reduced abstract Witt ring) has finite stability index if and only if it has finite 2-symbol length. We give explicit bounds for the two invariants in terms of one another. To approach the question whether those bounds are optimal we consider examples of Pythagorean fields.eng
dc.description.versionpublished
dc.identifier.citationFirst publ. in: Journal of algebra ; 354 (2012), 1. - S. 71-76deu
dc.identifier.doi10.1016/j.jalgebra.2011.12.027deu
dc.identifier.ppn363182071deu
dc.identifier.urihttp://kops.uni-konstanz.de/handle/123456789/18698
dc.language.isoengdeu
dc.legacy.dateIssued2012-03-01deu
dc.rightsterms-of-usedeu
dc.rights.urihttps://rightsstatements.org/page/InC/1.0/deu
dc.subjectSymbol lengthdeu
dc.subjectStability indexdeu
dc.subjectQuadratic formsdeu
dc.subjectPythagorean fieldsdeu
dc.subjectAbstract Witt ringdeu
dc.subjectMilnor K-theorydeu
dc.subject.ddc510deu
dc.subject.msc11E04, 11E10, 11E81deu
dc.titleSymbol length and stability indexeng
dc.typeJOURNAL_ARTICLEdeu
dspace.entity.typePublication
kops.citation.bibtex
@article{Becher2012Symbo-18698,
  year={2012},
  doi={10.1016/j.jalgebra.2011.12.027},
  title={Symbol length and stability index},
  number={1},
  volume={354},
  issn={0021-8693},
  journal={Journal of Algebra},
  pages={71--76},
  author={Becher, Karim Johannes and Gładki, Paweł}
}
kops.citation.iso690BECHER, Karim Johannes, Paweł GŁADKI, 2012. Symbol length and stability index. In: Journal of Algebra. 2012, 354(1), pp. 71-76. ISSN 0021-8693. Available under: doi: 10.1016/j.jalgebra.2011.12.027deu
kops.citation.iso690BECHER, Karim Johannes, Paweł GŁADKI, 2012. Symbol length and stability index. In: Journal of Algebra. 2012, 354(1), pp. 71-76. ISSN 0021-8693. Available under: doi: 10.1016/j.jalgebra.2011.12.027eng
kops.citation.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/123456789/18698">
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/52"/>
    <dc:rights>terms-of-use</dc:rights>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/>
    <dcterms:issued>2012</dcterms:issued>
    <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/18698/1/becher_symbol.pdf"/>
    <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2013-04-14T22:25:04Z</dcterms:available>
    <dc:creator>Gładki, Paweł</dc:creator>
    <dcterms:abstract xml:lang="eng">We show that a Pythagorean field (more generally, a reduced abstract Witt ring) has finite stability index if and only if it has finite 2-symbol length. We give explicit bounds for the two invariants in terms of one another. To approach the question whether those bounds are optimal we consider examples of Pythagorean fields.</dcterms:abstract>
    <dcterms:title>Symbol length and stability index</dcterms:title>
    <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/>
    <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/18698"/>
    <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/>
    <dc:language>eng</dc:language>
    <dcterms:bibliographicCitation>First publ. in: Journal of algebra ; 354 (2012), 1. - S. 71-76</dcterms:bibliographicCitation>
    <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/18698/1/becher_symbol.pdf"/>
    <dc:contributor>Gładki, Paweł</dc:contributor>
    <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2012-03-01T14:13:13Z</dc:date>
    <dc:contributor>Becher, Karim Johannes</dc:contributor>
    <dc:creator>Becher, Karim Johannes</dc:creator>
    <foaf:homepage rdf:resource="http://localhost:8080/"/>
    <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/52"/>
  </rdf:Description>
</rdf:RDF>
kops.description.openAccessopenaccessgreen
kops.flag.knbibliographytrue
kops.identifier.nbnurn:nbn:de:bsz:352-186986deu
kops.sourcefieldJournal of Algebra. 2012, <b>354</b>(1), pp. 71-76. ISSN 0021-8693. Available under: doi: 10.1016/j.jalgebra.2011.12.027deu
kops.sourcefield.plainJournal of Algebra. 2012, 354(1), pp. 71-76. ISSN 0021-8693. Available under: doi: 10.1016/j.jalgebra.2011.12.027deu
kops.sourcefield.plainJournal of Algebra. 2012, 354(1), pp. 71-76. ISSN 0021-8693. Available under: doi: 10.1016/j.jalgebra.2011.12.027eng
kops.submitter.emaillarysa.herasymova@uni-konstanz.dedeu
relation.isAuthorOfPublicationde66bd86-e3cc-42fb-82f1-cb9c05c37c8f
relation.isAuthorOfPublication.latestForDiscoveryde66bd86-e3cc-42fb-82f1-cb9c05c37c8f
source.bibliographicInfo.fromPage71
source.bibliographicInfo.issue1
source.bibliographicInfo.toPage76
source.bibliographicInfo.volume354
source.identifier.issn0021-8693
source.periodicalTitleJournal of Algebra

Dateien

Originalbündel

Gerade angezeigt 1 - 1 von 1
Vorschaubild nicht verfügbar
Name:
becher_symbol.pdf
Größe:
127 KB
Format:
Adobe Portable Document Format
becher_symbol.pdf
becher_symbol.pdfGröße: 127 KBDownloads: 582

Lizenzbündel

Gerade angezeigt 1 - 1 von 1
Vorschaubild nicht verfügbar
Name:
license.txt
Größe:
1.92 KB
Format:
Plain Text
Beschreibung:
license.txt
license.txtGröße: 1.92 KBDownloads: 0

Sammlungen

Mathematik und Statistik: Publikationen
Zukunftskolleg: Publikationen