English

Characterization of Extremal Valued Fields

Commutative Algebra 2013-04-02 v1

Abstract

We characterize those valued fields for which the image of the valuation ring under every polynomial in several variables contains an element of maximal value, or zero.

Keywords

Cite

@article{arxiv.1005.5523,
  title  = {Characterization of Extremal Valued Fields},
  author = {Salih Azgin and Franz-Viktor Kuhlmann and Florian Pop},
  journal= {arXiv preprint arXiv:1005.5523},
  year   = {2013}
}

Comments

12 pages

R2 v1 2026-06-21T15:29:41.039Z