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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…
math.AC2025
Nearly Gorenstein numerical semigroups with five generators have bounded type
Alessio Moscariello, Francesco Strazzanti
We prove that the type of nearly Gorenstein numerical semigroups minimally generated by integers is bounded. In particular, if such a semigroup is not almost symmetric, then it…