9 citations · 20 across the 8 of their papers we have counts for
8 papers
The covariety of perfect numerical semigroups with fixed Frobenius number
M. A. Moreno-Frías, J. C. Rosales
Let be a numerical semigroup. We will say that is an {\it isolated gap }of if A numerical semigroup without isola…
The covariety of saturated numerical semigroups with fixed Frobenius number
M. A. Moreno-Frías, J. C. Rosales
In this work we will show that if is a positive integer, then ${\mathrm{Sat}}(F)=\{S\mid S \mbox{ is a saturated numerical semigroup with Frobenius number } F\}$ is a covariety…
The complexity of a numerical semigroup
J. I. García-García, M. A. Moreno-Frías, J. C. Rosales +1
Let and be numerical semigroups. A numerical semigroup is an -{\it semigroup} if is an ideal of . We will denote by $\mathcal{J}(Δ…
On divisor-closed submonoids and minimal distances in finitely generated monoids
J. I. García-García, D. Marín-Aragón, M. A. Moreno-Frías
We study the lattice of divisor-closed submonoids of finitely generated cancellative commutative monoids. In case the monoid is an affine semigroup, we give a geometrical character…
Computation of Delta sets of numerical monoids
J. I. García-García, M. A. Moreno-Frías, A. Vigneron-Tenorio
Let be the minimal generating set of a numerical monoid . For any , its Delta set is defined by where $\{l_1<\do…
Computation of the w-primality and asymptotic w-primality with applications to numerical semigroups
J. I. García-García, M. A. Moreno-Frías, A. Vigneron-Tenorio
We give an algorithm to compute the -primality of finitely generated atomic monoids. Asymptotic $\w$-primality is also studied and a formula to obtain it in finitely generated q…
Affine convex body semigroups
J. I. García-García, M. A. Moreno-Frías, A. Sánchez-R. -Navarro +1
In this paper we present a new kind of semigroups called convex body semigroups which are generated by convex bodies of R^k. They generalize to arbitrary dimension the concept of p…
On the decomposable semigroups and applications
Juan Ignacio García-García, M. Ángeles Moreno-Frías, Alberto Vigneron-Tenorio
The aim of this work is to reduce the complexity of the available algorithms for computing the generator sets of a semigroup ideal by using the Hermite normal form. In order to ach…