A. Vigneron-Tenorio

activity

20132022

most citedThe Buchweitz set of a numerical semigroup

2 citations · 5 across the 10 of their papers we have counts for

collaborators

12 papers

math.AC2024

A computational approach to the study of finite-complement submonids of an affine cone

J. C. Rosales, R. Tapia-Ramos, A. Vigneron-Tenorio

Let $C \subseteq N^{p}$ be an integer cone. A $C$ -semigroup $S \subseteq C$ is an affine semigroup such that the set $C ∖ S$ is…

math.AG2022

Conductors of Abhyankar-Moh semigroups of even degrees

Evelia R. GarcÍa Barroso, Juan Ignacio GarcÍa-GarcÍa, Luis José Santana SÁnchez +1

In their paper on the embeddings of the line in the plane, Abhyankar and Moh proved an important inequality, now known as the Abhyankar-Moh inequality, which can be stated in terms…

math.NT2022

The complexity of a numerical semigroup

J. I. García-García, M. A. Moreno-Frías, J. C. Rosales +1

Let $S$ and $Δ$ be numerical semigroups. A numerical semigroup $S$ is an $I (Δ)$ -{\it semigroup} if $S \ {0}$ is an ideal of $Δ$ . We will denote by $\mathcal{J}(Δ…

math.NT2021

On the ideal of some sumset semigroups

J. I. García-García, D. Marín-Aragón, A. Vigneron-Tenorio

A sumset semigroup is a non-cancellative commutative monoid obtained from the sumset of finite non-negative integer sets. In this work, an algorithm for computing the ideals associ…

math.CO2020★ 2 cited

The Buchweitz set of a numerical semigroup

S. Eliahou, J. I. García-García, D. Marín-Aragón +1

Let $A \subset Z$ be a finite subset. We denote by $B (A)$ the set of all integers $n \geq 2$ such that $∣ n A ∣ > (2 n - 1) (∣ A ∣ - 1)$ , where $n A = A + \dots + A$ denotes the…

math.AG2020★ 1 cited

On reducible non-Weierstrass semigroups

J. I. García-García, D. Marín-Aragón, F. Torres +1

Weierstrass semigroups are well-known along the literature. We present a new family of non-Weierstrass semigroups which can be written as an intersection of Weierstrass semigroups.…