English

A Curious Characterisation of Dedekind Domains

Commutative Algebra 2026-03-10 v1

Abstract

We characterise Dedekind rings among not necessarily Noetherian domains by a property of their module homomorphisms. Our proof relies on a homological algebra argument.

Keywords

Cite

@article{arxiv.2603.08669,
  title  = {A Curious Characterisation of Dedekind Domains},
  author = {Robert Szafarczyk},
  journal= {arXiv preprint arXiv:2603.08669},
  year   = {2026}
}

Comments

9 pages. Comments welcome!