Small skew fields
✍ Scribed by Cédric Milliet
- Publisher
- John Wiley and Sons
- Year
- 2007
- Tongue
- English
- Weight
- 114 KB
- Volume
- 53
- Category
- Article
- ISSN
- 0044-3050
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✦ Synopsis
Abstract
A small field of positive characteristic is commutative. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
📜 SIMILAR VOLUMES
We prove that multiparameter quantum matrices over a skew field can be reduced by applying elementary row and column operations, each of which preserve the quantum relations. From this, we derive a new, axiomatic description of the quantum determinant, which coincides with the classical approach to
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