English

Factorizations into irreducible numerical semigroups

Commutative Algebra 2024-10-18 v1 Combinatorics

Abstract

Every numerical semigroup can be expressed as an intersection of irreducible numerical semigroups. We show that the unions of sets of lengths of factorizations of numerical semigroups into irreducible numerical semigroups are all equal to N2\mathbb{N}_{\ge 2}.

Keywords

Cite

@article{arxiv.2410.13729,
  title  = {Factorizations into irreducible numerical semigroups},
  author = {Pedro A. Garcia-Sanchez},
  journal= {arXiv preprint arXiv:2410.13729},
  year   = {2024}
}
R2 v1 2026-06-28T19:26:08.934Z