2 papers
math.AC2026
Reflexive ideals of a numerical semigroup
P. Campochiaro, M. D'Anna, P. A. Garcia-Sanchez
We study the reflexivity property of ideals in numerical semigroups. In particular, we characterize irreducible reflexive ideals and determine the Apéry set of a reflexive ideal. M…
math.AC2025
Some classes of one-dimensional rings characterized by their reflexive ideals
Pietro Campochiaro, Marco D'Anna, Francesco Strazzanti
We study reflexive ideals in one-dimensional Cohen-Macaulay local rings, providing characterizations of almost Gorenstein rings, rings with minimal multiplicity, and Arf rings, whi…