English

On stable fields and weight

Logic 2009-10-01 v1

Abstract

We prove that if K is an infinite stable field whose generic type has weight 1 then K is separably closed. We also obtain partial results when the generic of K has finite weight and when K is strongly stable.

Keywords

Cite

@article{arxiv.0909.5623,
  title  = {On stable fields and weight},
  author = {Krzysztof Krupinski and Anand Pillay},
  journal= {arXiv preprint arXiv:0909.5623},
  year   = {2009}
}

Comments

11 pages

R2 v1 2026-06-21T13:52:29.689Z