Skewness of r-fields on spheres
โ Scribed by R.J. Milgram; P. Zvengrowski
- Publisher
- Elsevier Science
- Year
- 1976
- Tongue
- English
- Weight
- 791 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0040-9383
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let k ; K be a finitely generated field extension of transcendence degree 1. ลฝ . ลฝ . ## Consider the corresponding extension D D k ; D D K of skew fields of the first 1 1 ลฝ . ลฝ . Weyl algebra. We show that the D D k -valuations of D D K are in one-to-one 1 1 ลฝ . correspondence with the k-valuati
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