2017•Communications in AlgebraRequires access
Densities of maximal embedding dimension numerical semigroups
Laura Iglésias, Ana Margarida Neto
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Abstract
We define the density of a numerical semigroup and study the densities of all the maximal embedding dimension numerical semigroups with a fixed Frobenius number, as well as the possible Frobenius number for a fixed density. We also prove that for a given possible density, in the sense of Wilf’s conjecture, one can find a maximal embedding dimension numerical semigroup with that density.