2 citations · 2 across the 4 of their papers we have counts for
5 papers
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…
Semigroups of ideals and isomorphism problems
Pedro A. Garcia-Sanchez, Salvatore Tringali
Let be a monoid (written multiplicatively). We call Archimedean if, for all such that is a non-unit, there is an integer with ; stro…
Ideal extensions of free commutative monoids
C. Cisto, P. A. Garcia-Sanchez, D. Llena
We introduce a new family of monoids, which we call gap absorbing monoids. Every gap absorbing monoid is an ideal extension of a free commutative monoid. For a gap absorbing monoid…
Universally free numerical semigroups
Ignacio García Marco, Pedro A. García-Sánchez, Ignacio Ojeda +1
A numerical semigroup is said to be universally free if it is free for any possible arrangement of its minimal generating set. In this work, we establish that toric ideals associat…
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…