On orderings and valuations of fields
β Scribed by A. Dress
- Publisher
- Springer
- Year
- 1977
- Tongue
- English
- Weight
- 339 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0046-5755
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π SIMILAR VOLUMES
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Analogous to the notion of natural valuations of ordered fields, we introduce the notion of order *-valuations for any Baer ordered *-fields. When the Bear ordered division rings are finite dimensional over their centers, we show that their order *-valuations are nontrivial. Using this, we study a n
Discrete k-valuations on D D k with a pure transcendental field-extension of 1 degree 1 as residue-field fall apart into two classes. The class containing the discrete valuation induced by the Bernstein filtration is completely determined, using the interplay between its valuations and the Bernstein
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