Some classes of one-dimensional rings characterized by their reflexive ideals
Commutative Algebra
2025-06-17 v1
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.
Keywords
Cite
@article{arxiv.2506.13591,
title = {Some classes of one-dimensional rings characterized by their reflexive ideals},
author = {Pietro Campochiaro and Marco D'Anna and Francesco Strazzanti},
journal= {arXiv preprint arXiv:2506.13591},
year = {2025}
}