Witt rings of global fields

摘要

In 1989 DeMeyer et al. (DeMeyer, F., Harrison, D., Miranda, R..(1989). Quadratic forms over Q and Galois extensions of commutative rings. Mem. Amer. Math. Soc. 77(394)) described the Witt ring of the rational number field in terms of Hilbert symbols. The same has,been done by the first author for global function fields. The aim of this paper is to obtain a similar result for any global field. References: 11