Semigroups with fixed multiplicity and embedding dimension
Commutative Algebra
2017-10-11 v1 Number Theory
Abstract
Given a numerical semigroup with multiplicity is called packed numerical semigroup if its minimal generating set is included in In this work, packed numerical semigroups are used to built the set of numerical semigroups with fixed multiplicity and embedding dimension, and to create a partition in this set. Moreover, Wilf's conjecture is checked in the tree associated to some packed numerical semigroups.
Cite
@article{arxiv.1710.03523,
title = {Semigroups with fixed multiplicity and embedding dimension},
author = {J. I. García-García and D. Marín-Aragón and M. A. Moreno-Frías and J. C. Rosales and A. Vigneron-Tenorio},
journal= {arXiv preprint arXiv:1710.03523},
year = {2017}
}