This article is a logical continuation of the Henri Lombardi and Franz-Viktor Kuhlmann article [9]. We address some classical points of the theory of valued fields with an elementary and constructive point of view. We deal with Krull valuations, and not simply discrete valuations. First of all, we s
The Henselian closures of a PpC field
β Scribed by W. D. Geyer; M. Jarden
- Book ID
- 112949940
- Publisher
- Vandenhoeck & Ruprecht
- Year
- 1991
- Tongue
- German
- Weight
- 457 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0025-5858
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π SIMILAR VOLUMES
The set of division algebras central and finite dimensional over a field F Ε½ . are nicely parameterized by the Brauer group Br F , which is naturally 2 Ε½ β · . isomorphic to the Galois cohomology group H G , F . Since the latter F sep is an arithmetic invariant, the theory of F's division algebras and
A BSS machine is -uniform if it does not use exact tests; such machines are equivalent (modulo parameters) to Type 2 Turing machines. We deΓΏne a notion of closure related to Turing machines for archimedean ΓΏelds, and show that such ΓΏelds admit nontrivial -uniformly decidable sets i they are not Turi