Quotients of milnor K-rings, orderings, and valuations

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

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.

Original languageEnglish
Pages (from-to)259-275
Number of pages17
JournalPacific Journal of Mathematics
Volume226
Issue number2
DOIs
StatePublished - 1 Aug 2006

Keywords

  • Generalized milnor K-rings
  • Orderings
  • Valuations

ASJC Scopus subject areas

  • General Mathematics

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