Algebraic Characterization of Rings of Continuous p-Adic Valued Functions

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VOLKWEIS LEITE, Samuel, Alexander PRESTEL, 2016. Algebraic Characterization of Rings of Continuous p-Adic Valued Functions. In: Communications in Algebra. 44(2), pp. 486-499. ISSN 0092-7872. eISSN 1532-4125

@article{Volkweis Leite2016Algeb-33408, title={Algebraic Characterization of Rings of Continuous p-Adic Valued Functions}, year={2016}, doi={10.1080/00927872.2014.980892}, number={2}, volume={44}, issn={0092-7872}, journal={Communications in Algebra}, pages={486--499}, author={Volkweis Leite, Samuel and Prestel, Alexander} }

<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/rdf/resource/123456789/33408"> <dc:creator>Volkweis Leite, Samuel</dc:creator> <dcterms:issued>2016</dcterms:issued> <dc:language>eng</dc:language> <dcterms:title>Algebraic Characterization of Rings of Continuous p-Adic Valued Functions</dcterms:title> <dc:contributor>Prestel, Alexander</dc:contributor> <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/33408"/> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2016-03-22T14:50:59Z</dc:date> <dcterms:abstract xml:lang="eng">The aim of this article is to characterize among the class of all commutative rings containing ℚ the rings C(X, ℚp) of all continuous ℚp-valued functions on a compact space X. The characterization is similar to that of M. Stone from 1940 (see [9]) for the case of ℝ-valued functions. The Characterization Theorem 4.6 is a consequence of our main result, the p-adic Representation Theorem 4.5.</dcterms:abstract> <dc:creator>Prestel, Alexander</dc:creator> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2016-03-22T14:50:59Z</dcterms:available> <dc:contributor>Volkweis Leite, Samuel</dc:contributor> </rdf:Description> </rdf:RDF>

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