R. Tapia-Ramos

activity

20242026

collaborators

6 papers

math.AC2026

A note on strong affine semigroups

I. GarcÃa-Marco, R. Tapia-Ramos, A. Vigneron-Tenorio

This work introduces and studies strong affine semigroups, extending the notion of strong numerical semigroups to the higher-dimensional setting. We show that non-numerical strong…

math.CO2025

Positioned and primary positioned $C$ -semigroups

Carmelo Cisto, Raquel Tapia-Ramos

Let $C$ be a positive integer cone and $k \in C$ . A $C$ -semigroup $S$ is $k$ -positioned if for every $h \in C ∖ S$ we have that $k - h$ b…

math.AC2025

On some affine semigroups characterized by a finite-state automata

J. I. FarrÃ¡n, J. C. Rosales, R. Tapia-Ramos +1

This work introduces a new kind of affine semigroups called $P$ -semigroups. Within the framework of $C$ -semigroups, we define a finite-state automaton associated to them.…

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

On ideals of affine semigroups and affine semigroups with maximal embedding dimension

J. I. GarcÃa-GarcÃa, R. Tapia-Ramos, A. Vigneron-Tenorio

Let $S \subseteq N^{p}$ be a semigroup, any $P \subseteq S$ is an ideal of $S$ if $P + S \subseteq P$ , and an $I (S)$ -semigroup is the affine semigroup $P \cup {0}$ , with $P$ an i…