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Advisor(s)
Abstract(s)
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.
Description
Keywords
Embedding dimension Frobenius number Numerical semigroup Número Frobenius Semigrupo numérico
Citation
IGLÉSIAS, Laura; NETO, Ana Margarida – Densities of maximal embedding dimension numerical semigroups. Communications in Algebra. ISSN 0092-7872. Vol. 46, N.º 6 (2018), pp. 2730-2737
Publisher
Taylor & Francis