On skew field coproducts with a finite extension
โ Scribed by P. M. Cohn
- Book ID
- 112892822
- Publisher
- The Hebrew University Magnes Press
- Year
- 1996
- Tongue
- English
- Weight
- 330 KB
- Volume
- 96
- Category
- Article
- ISSN
- 0021-2172
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๐ SIMILAR VOLUMES
For a skew field extension L/K, a number of intermediate fields can be defined on the basis of the centralizer of K in L. In this paper such intermediate fields are studied in detail. Among the results are a standard decomposition of any skew field extension of finite degree and four types of skew f
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