24 citations · 78 across the 32 of their papers we have counts for
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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…