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Completions of local morphisms and valuations

✍ Scribed by Reinhold Hübl

Publisher: Springer-Verlag
Year: 2001
Tongue: French
Weight: 140 KB
Volume: 236
Category: Article
ISSN: 0025-5874
DOI: 10.1007/pl00004824

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## Abstract We prove that every convexly ordered valuation ring has a unique completion as a uniform space, which furthermore is a convexly ordered valuation ring. In addition, we give a model theoretic characterisation of complete convexly ordered valuation rings, and give a necessary and sufficie