%0 Journal Article %A Moreno Frías, María Ángeles %A Rosales, José Carlos %T Frobenius pseudo-variety of numerical semigroups with a given multiplicity and ratio %D 2023 %@ 0938-1279 %U http://hdl.handle.net/10498/29071 %X In this paper, we study the set L(m, r) of all numerical semigroups with multiplicity m and ratio r. In particular, we present some algorithms that compute all the elements of L(m, r) with a given genus or with a given Frobenius number. %K Numerical semigroup %K Frobenius pseudo-variety %K Frobenius number %K Genus %K Multiplicity %K Ratio %K Algorithm %~ Universidad de Cádiz