Back to Search
Start Over
A realization theorem for almost Dedekind domains
- Publication Year :
- 2024
-
Abstract
- An integral domain $D$ is called an SP-domain if every ideal is a product of radical ideals. Such domains are always almost Dedekind domains, but not every almost Dedekind domain is an SP-domain. The SP-rank of $D$ provides a natural measure of the deviation of $D$ from being an SP-domain. In the present paper we show that every ordinal number $\alpha$ can be realized as the SP-rank of an almost Dedekind domain.
- Subjects :
- Mathematics - Commutative Algebra
13F05, 13A15
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2405.04512
- Document Type :
- Working Paper