English

Onthe computation of the MED closure of a numerical semigroup

Combinatorics 2025-01-22 v1 Number Theory

Abstract

Maximally embedding dimension (MED) numerical semigroups are a wide and interesting family, with some remarkable algebraic and combinatorial properties. Associated to any numerical semigroup one can construct a MED closure, as it is well known. This paper shows two different explicit methods to construct this closure which also sheds new light on the very nature of this object.

Keywords

Cite

@article{arxiv.2501.12132,
  title  = {Onthe computation of the MED closure of a numerical semigroup},
  author = {Jorge Jiménez Urroz and José M. Tornero},
  journal= {arXiv preprint arXiv:2501.12132},
  year   = {2025}
}