28 citations · 59 across the 13 of their papers we have counts for
13 papers
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…
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…
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…
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…
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…
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…
On the Hilbert function of the tangent cone of a monomial curve
Marco D'Anna, Michela Di Marca, Vincenzo Micale
In this paper we study the Hilbert function of $\gr_{\mathfrak{m}}(R)$, when is a numerical semigroup ring or, equivalently, the coordinate ring of a monomial curve. In particu…
Bases of subalgebras of K[[x]] and K[x]
Abdallah Assi, Pedro A. García-Sánchez, Vincenzo Micale
Let be formal power series (respectively polynomials) in thevariable . We study the semigroup of orders of the formal series inthe algebra $K[[ f1,\ldots, f\…
Classes of complete intersection numerical semigroups
Marco D'Anna, Vincenzo Micale, Alessio Sammartano
We consider several classes of complete intersection numerical semigroups, aris- ing from many different contexts like algebraic geometry, commutative algebra, coding theory and fa…
On the Betti numbers of some semigroup rings
Vincenzo Micale, Anda Olteanu
For any numerical semigroup , there are infinitely many numerical symmetric semigroups such that is their half. We are studying the Betti numbers of the nume…
When the associated graded ring of a semigroup ring is Complete Intersection
Marco D'Anna, Vincenzo Micale, Alessio Sammartano
Let (R, m) be the semigroup ring associated to a numerical semigroup S. In this paper we study the property of its associated graded ring G(m) to be Complete Intersection. In parti…
On the associated graded ring of a semigroup ring
Marco D'Anna, Vincenzo Micale, Alessio Sammartano
Let (R;m) be a numerical semigroup ring. In this paper we study the properties of its associated graded ring G(m). In particular, we describe the H^0_M for G(m) (where M is the hom…
On the dimension of the minimal vertex covers semigroup ring of an unmixed bipartite graph
Cristina Bertone, Vincenzo Micale
In a paper in 2008, Herzog, Hibi and Ohsugi introduced and studied the semigroup ring associated to the set of minimal vertex covers of an unmixed bipartite graph. In this paper we…