Abstract

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.

Keywords

generalized Milnor K-rings, orderings, valuations

Mathematical Subject Classification

Primary: 19F99

Secondary: 12J10, 12J15, 12E30

Authors