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
Rings and Fields, a Constructive View
โ Scribed by Daniel A. Romano
- Publisher
- John Wiley and Sons
- Year
- 1988
- Tongue
- English
- Weight
- 708 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0044-3050
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๐ SIMILAR VOLUMES
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The theory of apartness spaces, and their relation to topological spaces (in the point-set case) and uniform spaces (in the set-set case), is sketched. New notions of local decomposability and regularity are investigated, and the latter is used to produce an example of a classically metrisable apart
## Abstract We give a constructive proof of the fact that finitely generated projective modules over a polynomial ring with coefficients in a Prรผfer domain **R** with Krull dimension โค 1 are extended from **R**. In particular, we obtain constructively that finitely generated projective **R**[__X__~
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