The poset of normalized ideals of numerical semigroups with multiplicity three
Commutative Algebra
2024-08-01 v1 Combinatorics
Abstract
We study the poset of normalized ideals of a numerical semigroup with multiplicity three. We show that this poset is always a lattice, and that two different numerical semigroups with multiplicity three have non-isomorphic posets of normalized ideals.
Cite
@article{arxiv.2407.21697,
title = {The poset of normalized ideals of numerical semigroups with multiplicity three},
author = {S. Bonzio and P. A. García-Sánchez},
journal= {arXiv preprint arXiv:2407.21697},
year = {2024}
}