148 citations · 257 across the 27 of their papers we have counts for
27 papers · 1 filter
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…
On the Ratliff-Rush closure of an ideal of a one-dimensional ring
Veronica Crispin Quinonez, Marco D'Anna, Vincenzo Micale
Let be an ideal in a Noetherian ring and let be its Ratliff-Rush closure. In this paper we study the asymptotic Ratliff-Rush number, i.e. $h(I)=\min\{n\in\m…
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…
An upper bound for the multiplicity and Wilf's conjecture for one-dimensional Cohen-Macaulay rings
Marco D'Anna, Alessio Moscariello
In this work we provide an upper bound for the multiplicity of a one-dimensional Cohen-Macaulay ring (under certain conditions), describe the rings attaining the equality for this…
Apéry sets and the ideal class monoid of a numerical semigroup
Laura Casabella, Marco D'Anna, Pedro A. García-Sánchez
The aim of this article is to study the ideal class monoid of a numerical semigroup introduced by V. Barucci and F. Khouja. We prove new bounds on the card…
Almost symmetric good semigroups
Laura Casabella, Marco D'Anna
The class of good semigroups is a class of subsemigroups of , that includes the value semigroups of rings associated to curve singularities and their blowups, and allows to st…