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9 papers
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…
Rees algebras of ideals of star configurations
Alessandra Costantini, Ben Drabkin, Lorenzo Guerrieri
In this article we study the defining ideal of Rees algebras of ideals of star configurations. We characterize when these ideals are of linear type and provide sufficient condition…
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…
On the integral domains characterized by a Bezout Property on intersections of principal ideals
Lorenzo Guerrieri, K. Alan Loper
In this article we study two classes of integral domains. The first is characterized by having a finite intersection of principal ideals being finitely generated only when it is pr…
On quasi-equigenerated and Freiman cover ideals of graphs
Benjamin Drabkin, Lorenzo Guerrieri
A quasi-equigenerated monomial ideal in the polynomial ring is a Freiman ideal if where is the analytic spr…
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…