Onthe computation of the MED closure of a numerical semigroup

TL;DR

This paper introduces two explicit methods for constructing the MED closure of a numerical semigroup, enhancing understanding of its algebraic and combinatorial properties.

Contribution

It presents novel explicit algorithms for computing the MED closure, providing new insights into its structure and properties.

Findings

Two different explicit methods for MED closure construction

Enhanced understanding of the algebraic properties of MED closures

New insights into the combinatorial aspects of numerical semigroups

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.