Exponentiation in power series fields
Exponentiation in power series fields
Loading...
Date
1997
Authors
Editors
Journal ISSN
Electronic ISSN
ISBN
Bibliographical data
Publisher
Series
URI (citable link)
International patent number
Link to the license
EU project number
Project
Open Access publication
Collections
Title in another language
Publication type
Journal article
Publication status
Published in
Proceedings of the American Mathematical Society ; 125 (1997), 11. - pp. 3177-3183. - ISSN 0002-9939. - eISSN 1088-6826
Abstract
We prove that for no nontrivial ordered abelian group G, the ordered power series field R((G)) admits an exponential, i.e. an isomorphism between its ordered additive group and its ordered multiplicative group of positive elements, but that there is a non-surjective logarithm. For an arbitrary ordered field k, no exponential on k((G)) is compatible, that is, induces an exponential on k through the residue map. This is proved by showing that certain functional equations for lexicographic powers of ordered sets are not solvable.
Summary in another language
Subject (DDC)
510 Mathematics
Keywords
Conference
Review
undefined / . - undefined, undefined. - (undefined; undefined)
Cite This
ISO 690
KUHLMANN, Franz-Viktor, Salma KUHLMANN, Saharon SHELAH, 1997. Exponentiation in power series fields. In: Proceedings of the American Mathematical Society. 125(11), pp. 3177-3183. ISSN 0002-9939. eISSN 1088-6826BibTex
@article{Kuhlmann1997Expon-517, year={1997}, title={Exponentiation in power series fields}, number={11}, volume={125}, issn={0002-9939}, journal={Proceedings of the American Mathematical Society}, pages={3177--3183}, author={Kuhlmann, Franz-Viktor and Kuhlmann, Salma and Shelah, Saharon} }
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/123456789/517"> <dc:creator>Shelah, Saharon</dc:creator> <dcterms:abstract xml:lang="eng">We prove that for no nontrivial ordered abelian group G, the ordered power series field R((G)) admits an exponential, i.e. an isomorphism between its ordered additive group and its ordered multiplicative group of positive elements, but that there is a non-surjective logarithm. For an arbitrary ordered field k, no exponential on k((G)) is compatible, that is, induces an exponential on k through the residue map. This is proved by showing that certain functional equations for lexicographic powers of ordered sets are not solvable.</dcterms:abstract> <dc:creator>Kuhlmann, Franz-Viktor</dc:creator> <dc:format>application/pdf</dc:format> <dcterms:issued>1997</dcterms:issued> <dcterms:title>Exponentiation in power series fields</dcterms:title> <dc:language>eng</dc:language> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-22T17:44:53Z</dcterms:available> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2011-03-22T17:44:53Z</dc:date> <bibo:uri rdf:resource="http://kops.uni-konstanz.de/handle/123456789/517"/> <dc:contributor>Shelah, Saharon</dc:contributor> <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/> <dc:creator>Kuhlmann, Salma</dc:creator> <dc:rights>terms-of-use</dc:rights> <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"/> <foaf:homepage rdf:resource="http://localhost:8080/"/> <dspace:hasBitstream rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/517/1/07_Exponentiation_in_power_1997.pdf"/> <dc:contributor>Kuhlmann, Franz-Viktor</dc:contributor> <dcterms:hasPart rdf:resource="https://kops.uni-konstanz.de/bitstream/123456789/517/1/07_Exponentiation_in_power_1997.pdf"/> <dcterms:bibliographicCitation>First publ. in: Proceedings of the American Mathematical Society 125 (1997), 11, pp. 3177-3183</dcterms:bibliographicCitation> <dc:contributor>Kuhlmann, Salma</dc:contributor> </rdf:Description> </rdf:RDF>
Internal note
xmlui.Submission.submit.DescribeStep.inputForms.label.kops_note_fromSubmitter
Examination date of dissertation
Method of financing
Comment on publication
Alliance license
Corresponding Authors der Uni Konstanz vorhanden
International Co-Authors
Bibliography of Konstanz
No