Ax-Kochen-Ershov principles for valued and ordered vector spaces


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KUHLMANN, Franz-Viktor, Salma KUHLMANN, 1997. Ax-Kochen-Ershov principles for valued and ordered vector spaces. In: W. CHARLES HOLLAND, , ed. and others. Ordered Algebraic Structures. Dordrecht:Kluwer, pp. 237-259

@inproceedings{Kuhlmann1997Ax-Ko-582, title={Ax-Kochen-Ershov principles for valued and ordered vector spaces}, year={1997}, address={Dordrecht}, publisher={Kluwer}, booktitle={Ordered Algebraic Structures}, pages={237--259}, editor={W. Charles Holland}, author={Kuhlmann, Franz-Viktor and Kuhlmann, Salma} }

<rdf:RDF xmlns:rdf="" xmlns:bibo="" xmlns:dc="" xmlns:dcterms="" xmlns:xsd="" > <rdf:Description rdf:about=""> <dc:creator>Kuhlmann, Salma</dc:creator> <dc:creator>Kuhlmann, Franz-Viktor</dc:creator> <dc:contributor>Kuhlmann, Franz-Viktor</dc:contributor> <dc:date rdf:datatype="">2011-03-22T17:45:08Z</dc:date> <dcterms:rights rdf:resource=""/> <dc:contributor>Kuhlmann, Salma</dc:contributor> <dc:format>application/pdf</dc:format> <dcterms:abstract xml:lang="eng">We study extensions of valued vector spaces with variable base field, introducing the notion of disjointness and valuation disjointness in this setting. We apply the results to determine the model theoretic properties of valued vector spaces (with variable base field) relative to that of their skeletons. We study the model theory of the skeletons in special cases. We apply the results to ordered vector spaces with compatible valuation.</dcterms:abstract> <dcterms:title>Ax-Kochen-Ershov principles for valued and ordered vector spaces</dcterms:title> <dcterms:available rdf:datatype="">2011-03-22T17:45:08Z</dcterms:available> <dcterms:issued>1997</dcterms:issued> <dcterms:bibliographicCitation>Ordered Algebraic Structures : Proceedings of the Curacao Conference, June 26 - 30, 1995 / ed. by W. Charles Holland; Jorge Martinez. - Dordrecht : Kluwer, 1997. - S. 237-259. - ISBN 0-7923-4377-8</dcterms:bibliographicCitation> <dc:rights>deposit-license</dc:rights> <dc:language>eng</dc:language> <bibo:uri rdf:resource=""/> </rdf:Description> </rdf:RDF>

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