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Completeness and super-valuations

✍ Scribed by Gary M. Hardegree


Publisher
Springer Netherlands
Year
2005
Tongue
English
Weight
234 KB
Volume
34
Category
Article
ISSN
0022-3611

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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