## 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
โฆ LIBER โฆ
On the completion of a valuation ring
โ Scribed by P. Ribenboim
- Publisher
- Springer
- Year
- 1964
- Tongue
- English
- Weight
- 313 KB
- Volume
- 155
- Category
- Article
- ISSN
- 0025-5831
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Completions of Convexly Ordered Valuatio
โ
Larry Mathews
๐
Article
๐
1994
๐
John Wiley and Sons
๐
English
โ 699 KB
Notes on the structure of modules over c
โ
I. A. Amin
๐
Article
๐
1974
๐
Springer Netherlands
๐
English
โ 562 KB
On the Integral Closure of Polynomial Ri
โ
Hagen Knaf
๐
Article
๐
1998
๐
Elsevier Science
๐
English
โ 250 KB
The structure of valuation rings II
โ
Carl Faith
๐
Article
๐
1986
๐
Elsevier Science
๐
English
โ 380 KB
Extensions of valuations to the completi
โ
William Heinzer; Judith D. Sally
๐
Article
๐
1991
๐
Elsevier Science
๐
English
โ 758 KB
Vector bundles on elliptic curves over a
โ
E. Ballico
๐
Article
๐
2002
๐
Elsevier Science
๐
English
โ 92 KB
Here we study vector bundles on elliptic curves over a DVR. In particular, we classify the vector bundles whose restriction to the special fiber is stable. For singular genus one curves over a DVR, we consider the same problem for flat sheaves whose restriction to the special fiber is torsion free a