Strongly dependent ordered abelian groups and Henselian fields

Yatir Halevi, Assaf Hasson

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

Strongly dependent ordered abelian groups have finite dp-rank. They are precisely those groups with finite spines and |{p prime : [G:pG]=∞}|<∞. We apply this to show that if K is a strongly dependent field, then (K, v) is strongly dependent for any Henselian valuation v.

Original languageEnglish
Pages (from-to)719-758
Number of pages40
JournalIsrael Journal of Mathematics
Volume232
Issue number2
DOIs
StatePublished - 1 Aug 2019

ASJC Scopus subject areas

  • General Mathematics

Fingerprint

Dive into the research topics of 'Strongly dependent ordered abelian groups and Henselian fields'. Together they form a unique fingerprint.

Cite this