English

Maximal immediate extensions of valued differential fields

Commutative Algebra 2018-04-18 v2 Logic

Abstract

We show that every valued differential field has an immediate strict extension that is spherically complete. We also discuss the issue of uniqueness up to isomorphism of such an extension.

Keywords

Cite

@article{arxiv.1701.06691,
  title  = {Maximal immediate extensions of valued differential fields},
  author = {Matthias Aschenbrenner and Lou van den Dries and Joris van der Hoeven},
  journal= {arXiv preprint arXiv:1701.06691},
  year   = {2018}
}

Comments

31 pp; updated according to suggestions by the referee

R2 v1 2026-06-22T17:58:03.095Z