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
On finite intersections of “henselian valued” fields
✍ Scribed by Bernhard Heinemann
- Publisher
- Springer
- Year
- 1985
- Tongue
- English
- Weight
- 774 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0025-2611
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
Let ZrF be an inertial Galois extension of Henselian valued fields, and let D be a Z-central division algebra. Let G be a finite group acting on Z with fixed field F. We show that every generalized cocycle of G with values in the one-units Ž . of D is cohomologous to one of the form , 1 , or in othe
We study value sets of polynomials over a finite field, and value sets associated to pairs of such polynomials. For example, we show that the value sets (counting multiplicities) of two polynomials of degree at most d are identical or have at most q!(q!1)/d values in common where q is the number of