24 citations · 78 across the 32 of their papers we have counts for
14 papers · 1 filter
Arithmetic varieties of numerical semigroups
Manuel B. Branco, Ignacio Ojeda, José Carlos Rosales
In this paper we present the notion of arithmetic variety for numerical semigroups. We study various aspects related to these varieties such as the smallest arithmetic that contain…
The ratio-covariety of numerical semigroups with fixed multiplicity and Frobenius number
M. A. Moreno-Frías, J. C. Rosales
In this work we will introduce the concept of ratio-covariety, as a nonempty family of numerical semigroups verifying certain properties. This concept will allow us t…
The covariety of numerical semigroups with fixed Frobenius number
M. A. Moreno-Frías, J. C. Rosales
Denote by the multiplicity of a numerical semigroup . A covariety is a nonempty family of numerical semigroups that fulfills the following condition…
Numerical semigroups with concentration two
José C. Rosales, M. B. Branco, Márcio A. Traesel
We define the concentration of a numerical semigroup as wherein $\text{next}_S(s)=\min\left\{…
The arithmetic extensions of a numerical semigroup
Ignacio Ojeda, José Carlos Rosales
In this paper we introduce the notion of extension of a numerical semigroup. We provide a characterization of the numerical semigroups whose extensions are all arithmetic and we gi…
On pseudo-Frobenius elements of submonoids of
J. I. García-García, I. Ojeda, J. C. Rosales +1
In this paper we study those submonoids of which a non-trivial pseudo-Frobenius set. In the affine case, we prove that they are the affine semigroups whose associate…