English

What are discrete valuation rings? What are Dedekind domains?

History and Overview 2021-02-24 v1 Commutative Algebra Number Theory

Abstract

This is an extended introduction to discrete valuation rings and Dedekind domains. Some natural generalizations of Dedekind domains are also (briefly) discussed including "almost Dedekind domains", Pr\"ufer domains, Krull domains, and singular integral domains of dimension 1.

Keywords

Cite

@article{arxiv.2102.11725,
  title  = {What are discrete valuation rings? What are Dedekind domains?},
  author = {Wayne Aitken},
  journal= {arXiv preprint arXiv:2102.11725},
  year   = {2021}
}