Densities of maximal embedding dimension numerical semigroups

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...

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Published in:Communications in algebra 2018-06, Vol.46 (6), p.2730-2737
Main Authors: Iglésias, Laura, Neto, Ana Margarida
Format: Article
Language:English
Subjects:
Density
Embedding
Embedding dimension
Frobenius number
maximal embedding dimension numerical semigroup
numerical semigroup
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description 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.
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source Taylor and Francis Science and Technology Collection
subjects Density
Embedding
Embedding dimension
Frobenius number
maximal embedding dimension numerical semigroup
numerical semigroup
title Densities of maximal embedding dimension numerical semigroups
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