Some classes of one-dimensional rings characterized by their reflexive ideals
Abstract We study reflexive ideals in one-dimensional Cohen-Macaulay local rings, providing characterizations of almost Gorenstein rings, rings with minimal multiplicity, and Arf rings, which describe their reflexive fractional ideals.
Authors
- Francesco Strazzanti (ORCID: https://orcid.org/0000-0001-6120-8380)
- Pietro Campochiaro
- Marco D’Anna
Institutions
- University of Messina (IT)
- University of Catania (IT)
Publication Details
- Journal
- Ricerche di Matematica
- Published
- 2026-02-12
- DOI
- https://doi.org/10.1007/s11587-026-01060-5
- Primary Topic
- Commutative Algebra and Its Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Università di Catania