Resumen de Irreducible proportionally modular numerical semigroups

José Carlos Rosales González , Juan Manuel Urbano Blanco

• We study the minimal generating systems of the irreducible numerical semigroups that can be represented as the set of solutions to a Diophantine inequality of the form ax mod b  cx with a, b and c positive integers. In particular we obtain a simple method to count all these numerical semigroups with a given Frobenius number