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Completions of Convexly Ordered Valuation Rings

✍ Scribed by Larry Mathews


Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
699 KB
Volume
40
Category
Article
ISSN
0044-3050

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✦ Synopsis


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 sufficient condition for the completion of a convexly ordered valuation ring to be a real closed ring.

Mathematics Subject Classification: 03C60, 13L05, 54E15.


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