SCHEIDERER, C (1992) SOME REMARKS ON ORDERINGS UNDER FINITE-FIELD EXTENSIONS. PACIFIC JOURNAL OF MATHEMATICS, 152 (1). pp. 175-185. ISSN 0030-8730,
Full text not available from this repository.Abstract
Let X(K) denote the space of orderings of a field K, and r(L)/K: X(L) --> X(K) the restriction mapping, when L/K is a field extension. Fixing K, the image sets r(L)/K(X(L)) for finite extensions L/K are investigated. If K is hilbertian, any clopen subset U subset of X(K) has the form U = r(L)/K(X(L)) for some finite L/K, and [L:K] can be bounded in terms of U. This bound is even sharp in some cases, but not always. A second construction gives the same qualitative result for a much larger class of fields. It is based on iterated quadratic extensions. The bounds on [L:K] obtained here are weaker than in the hilbertian case.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | REAL ALGEBRAIC-VARIETIES; PROJECTIONS; |
| Depositing User: | Dr. Gernot Deinzer |
| Last Modified: | 19 Oct 2022 08:44 |
| URI: | https://pred.uni-regensburg.de/id/eprint/54727 |
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