English

The algebraic theory of valued fields

Commutative Algebra 2014-04-16 v1 Number Theory

Abstract

In this exposition we discuss the theory of algebraic extensions of valued fields. Our approach is mostly through Galois theory. Most of the results are well-known, but some are new. No previous knowledge on the theory of valuations is needed.

Keywords

Cite

@article{arxiv.1404.3916,
  title  = {The algebraic theory of valued fields},
  author = {Michiel Kosters},
  journal= {arXiv preprint arXiv:1404.3916},
  year   = {2014}
}

Comments

32 pages

R2 v1 2026-06-22T03:51:17.103Z