activity
20082025
most citedWhen the associated graded ring of a semigroup ring is Complete Intersection

28 citations · 59 across the 13 of their papers we have counts for

collaborators

13 papers

math.AC2025

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…

math.AG2024

The value semigroup of a plane curve singularity with several branches

M. D'Anna, F. Delgado, L. Guerrieri +2

We present a constructive procedure, based on the notion of Apéry set, to obtain the value semigroup of a plane curve singularity from the value semigroup of its blow-up and viceve…

math.CO2022

Properties and applications of the Apéry set of good semigroups in

Lorenzo Guerrieri, Nicola Maugeri, Vincenzo Micale

In this article we discuss some applications of the construction of the Apéry set of a good semigroup in given in the previous paper [Partition of the complement of…

math.CO2020

Partition of complement of good ideals and Apéry sets

Lorenzo Guerrieri, Nicola Maugeri, Vincenzo Micale

Good semigroups form a class of submonoids of containing the value semigroups of curve singularities. In this article, we describe a partition of the complements of…

math.AC2019★ 1 cited

The Apéry Set of a Good Semigroup

Marco D'Anna, Lorenzo Guerrieri, Vincenzo Micale

We study the Apéry set of good subsemigoups of , a class of semigroups containing the value semigroups of curve singularities with two branches. Even if this set in in…

math.AC2016★ 2 cited

Good subsemigroups of

Marco D'Anna, Pedro A. García-Sánchez, Vincenzo Micale +1

Value semigroups of non irreducible singular algebraic curves and their fractional ideals are submonoids of that are closed under infimums, have a conductor and fulfi…