Listing overrings of integral domains satisfying some finiteness conditions
We establish a process that produces the complete list of intermediate rings in integrally closed ring extensions with only finitely many intermediate rings. Then we obtain as a byproduct the list of overrings of integrally closed domains with only finitely many overrings. Also several properties of related rings and prime ideals are investigated.
Authors
- Ali Jaballah (ORCID: https://orcid.org/0000-0002-1196-8119)
Institutions
- University of Sharjah (AE)
Publication Details
- Journal
- Journal of Algebra and Its Applications
- Published
- 2025-08-22
- DOI
- https://doi.org/10.1142/s0219498825420150
- Primary Topic
- Rings, Modules, and Algebras
- Type
- article
- Field-Weighted Citation Impact
- 0.00