Valuation Bases for Extensions of Valued Vector Spaces

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KUHLMANN, Salma, 1996. Valuation Bases for Extensions of Valued Vector Spaces. In: Forum Mathematicum. 8, pp. 723-735. Available under: doi: 10.1515/form.1996.8.723

@article{Kuhlmann1996Valua-595, title={Valuation Bases for Extensions of Valued Vector Spaces}, year={1996}, doi={10.1515/form.1996.8.723}, volume={8}, journal={Forum Mathematicum}, pages={723--735}, author={Kuhlmann, Salma} }

<rdf:RDF xmlns:dcterms="" xmlns:dc="" xmlns:rdf="" xmlns:bibo="" xmlns:dspace="" xmlns:foaf="" xmlns:void="" xmlns:xsd="" > <rdf:Description rdf:about=""> <dc:contributor>Kuhlmann, Salma</dc:contributor> <dc:date rdf:datatype="">2011-03-22T17:45:10Z</dc:date> <dcterms:hasPart rdf:resource=""/> <dcterms:bibliographicCitation>First publ. in: Forum Mathematicum ; 8 (1996). - S. 723-735</dcterms:bibliographicCitation> <bibo:uri rdf:resource=""/> <dc:rights>terms-of-use</dc:rights> <dspace:isPartOfCollection rdf:resource=""/> <dspace:hasBitstream rdf:resource=""/> <dcterms:isPartOf rdf:resource=""/> <dcterms:title>Valuation Bases for Extensions of Valued Vector Spaces</dcterms:title> <foaf:homepage rdf:resource="http://localhost:8080/jspui"/> <dc:format>application/pdf</dc:format> <dcterms:rights rdf:resource=""/> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dcterms:issued>1996</dcterms:issued> <dcterms:abstract xml:lang="eng">Let (V,v) be any valued vector space, and (V0,v) a subspace. Then (V,v) admits a valuation basis over (V0,v) if and only if it admits a nice composition series over (V0,v). We show that this is always the case if v(V\V0) is reversely well ordered. If v(V0) is reversely well ordered, we show that V0 is nice in any extension, and that it admits a valuation basis over every subspace. Finally, we show that the property of admitting a valuation basis is preserved under countable dimensional extensions.</dcterms:abstract> <dc:creator>Kuhlmann, Salma</dc:creator> <dc:language>eng</dc:language> </rdf:Description> </rdf:RDF>

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