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...

Full description

Saved in:
Bibliographic Details
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
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:0092-7872
1532-4125
DOI:10.1080/00927872.2017.1399405