… 2 Irreducible numerical semigroups with arbitrary multiplicity and embedding dimension
We will see that if S is an irreducible numerical semigroup with m(S) ≥ 4, then e(S) ≤ m(S)−1. …

… intersection of finitely many irreducible ideals. Such a … The present paper deals with
numerical semigroups, which … of an ideal as intersection of irreducible ideals are stronger. …

… can be performed with the aid of the numerical semigroups package in GAP, which is software
… to numerical semigroups. Next we focus on the study of irreducible numerical semigroups, …

… can be performed with the aid of the numerical semigroups package in GAP, which is software
… to numerical semigroups. Next we focus on the study of irreducible numerical semigroups, …

… numerical semigroup, or simply a semigroup, S, we mean an additive submonoid of the monoid
N of all natural numbers (including 0). It is well known that each semigroup … semigroup S …

… We characterize in this section the set of 3-irreducible numerical semigroups in terms of its
… of any numerical semigroup with multiplicity 3 into irreducible numerical semigroups. An …

… A generalized numerical semigroup is a submonoid \( S\… We introduce irreducible generalized
numerical semigroups … of the order if the generalized numerical semigroup is irreducible. …

… irreducible numerical semigroup and we apply repeatedly the construction given in Corollary
2.6, we get, in a finite number of steps, an irreducible numerical semigroup … a semigroup is …

… of minimal presentations of a numerical semigroup, numerical semigroups have become a
nice … We are going to show that irreducible numerical semigroups are maximal in the set of …

… In this paper, we introduce the concept of Arf special gaps of an Arf numerical semigroup, …
Arf numerical semigroup. We introduce the concept of Arf-irreducible numerical semigroups, …