1 citations · 1 across the 7 of their papers we have counts for
8 papers
On Numerical Semigroups with Fixed Quotient
Ignacio Ojeda, José Carlos Rosales
Let be a numerical semigroup and let be an integer. We study the fiber of the quotient map \(S\mapsto S/d\) over . We describe its elements as semigroups of the for…
Affine semigroups without consecutive small elements
J. C. Rosales, R. Tapia-Ramos, A. Vigneron-Tenorio
An -semigroup is a numerical semigroup without consecutive small elements. This work generalizes this concept to finite-complement submonoids of an affine cone $\mathc…
A computational approach to the study of finite-complement submonids of an affine cone
J. C. Rosales, R. Tapia-Ramos, A. Vigneron-Tenorio
Let be an integer cone. A -semigroup is an affine semigroup such that the set is…
Semi-covariety of numerical semigroups
M. A. Moreno-Frías, 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 of numerical semigroups such that it…
The multiples of a numerical semigroup
Ignacio Ojeda, José Carlos Rosales
Given two numerical semigroups and we say that is a multiple of if there exists an integer such that $S = \{x \in \mathbb{N} \mid…
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 set of Arf numerical semigroups with given Frobenius number
M. A. Moreno-Frías, J. C. Rosales
In this work we will show that if is a positive integer, then the set ${\mathrm{Arf}}(F)=\{S\mid S \mbox{ is an Arf numerical semigroup with Frobenius number } F\}$ verifies th…