24 citations · 78 across the 32 of their papers we have counts for
33 papers
Internal numerical semigroups
Mario Casas, José A. Madrid, J. C. Rosales
In this paper the tree structure of numerical semigroups is studied. An internal numerical semigroup is a semigroup located in an internal node of the tree. Analogous a leaf numeri…
The Frobenius number corresponding to the squares of three consecutive Fibonacci numbers: comparison of three algorithmic processes
Aureliano M. Robles-Pérez, José Carlos Rosales
We compute the Frobenius number for numerical semigroups generated by the squares of three consecutive Fibonacci numbers. We achieve this by using and comparing three distinct algo…
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…
Numerical semigroups with monotone Apéry set and fixed multiplicity and ratio
Aureliano M. Robles-Pérez, José Carlos Rosales
We characterise the numerical semigroups with a monotone Apéry set (MANS-semigroups for abbreviate). Moreover, we describe the families of MANS-semigroups when we set the multiplic…
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…