Irreducible numerical semigroups

J.C. Rosales and M.B. Branco

Vol. 209 (2003), No. 1, 131–143

DOI: 10.2140/pjm.2003.209.131

Abstract

We give a characterization for irreducible numerical semigroups. From this characterization we obtain that every irreducible numerical semigroup is either a symmetric or pseudo-symmetric numerical semigroup. We study the minimal presentations of an irreducible numerical semigroup. Separately, we deal with the cases of maximal embedding dimension and multiplicity 3 and 4.

Milestones

Received: 26 September 2001

Revised: 26 February 2002

Published: 1 March 2003