Quotients of Milnor K-rings, orderings, and valuations , by Ido Efrat

We define and study the Milnor K-ring of a field F modulo a subgroup of the multiplicative group of F. We compute it in several arithmetical situations, and study the reflection of orderings and valuations in this ring.

Ido Efrat <efrat@math.bgu.ac.il >