Strongly Dependent Ordered Abelian Groups and Henselian Fields
Logic
2024-04-09 v4 Group Theory
Abstract
Strongly dependent ordered abelian groups have finite dp-rank. They are precisely those groups with finite spines and . We apply this to show that if is a strongly dependent field, then is strongly dependent for any henselian valuation .
Keywords
Cite
@article{arxiv.1706.03376,
title = {Strongly Dependent Ordered Abelian Groups and Henselian Fields},
author = {Yatir Halevi and Assaf Hasson},
journal= {arXiv preprint arXiv:1706.03376},
year = {2024}
}