J. C. Rosales

activity

20242026

collaborators

4 papers

math.AC2026

On Numerical Semigroups with Fixed Quotient

Ignacio Ojeda, JosÃ© Carlos Rosales

Let $I^$ be a numerical semigroup and let $d \geq 2$ be an integer. We study the fiber of the quotient map $S\mapsto S/d$ over $I^$ . We describe its elements as semigroups of the f…

math.AC2025

Affine semigroups without consecutive small elements

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

An $A$ -semigroup is a numerical semigroup without consecutive small elements. This work generalizes this concept to finite-complement submonoids of an affine cone $\mathc…

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.AC2024

Semi-covariety of numerical semigroups

M. A. Moreno-FrÃas, J. C. Rosales

The main aim of this work is to introduce and justify the study of semi-covarities. A {\it semi-covariety} is a non-empty family $F$ of numerical semigroups such that it…