Francesco Strazzanti

activity

20242026

collaborators

4 papers

math.AC2026

Nearly Gorenstein and almost symmetric properties in shifted numerical semigroups

Dumitru I. Stamate, Francesco Strazzanti

Given the integers $0 < r_{1} < \dots < r_{k}$ , we consider the shifted family of semigroups $M_{n} = ⟨ n, n + r_{1}, \dots, n + r_{k} ⟩$ , where $n > 0$ . For sufficiently large $n$ , we prove tha…

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 $5$ integers is bounded. In particular, if such a semigroup is not almost symmetric, then it…

math.AC2024

On nearly Gorenstein affine semigroups

Raheleh Jafari, Francesco Strazzanti, Santiago Zarzuela Armengou

We describe the canonical module of a simplicial affine semigroup ring $K [S]$ and its trace ideal. As a consequence, we characterize when $K [S]$ is nearly Gorenst…