A Serre-type theorem for Krull domains
In this paper we show that an integral domain $D$ is a Krull domain if and only if $D$ is a Mori domain, $D$ satisfies Serre's condition $(R_1)$ and every associated prime of a principal ideal has height one.
Authors
- N. Shirmohammadi (ORCID: https://orcid.org/0000-0002-7655-6158)
- Parviz Sahandi (ORCID: https://orcid.org/0000-0001-5327-5444)
Institutions
- University of Tabriz (IR)
Publication Details
- Journal
- International Electronic Journal of Algebra
- Published
- 2026-09-06
- DOI
- https://doi.org/10.24330/ieja.2034086
- Primary Topic
- Rings, Modules, and Algebras
- Type
- article
- Field-Weighted Citation Impact
- 0.00