For some numerical semigroup rings of small embedding dimension, namely those of
embedding dimension 3, and symmetric or pseudosymmetric of embedding dimension 4 …

We construct a minimal free resolution of the semigroup ring k [C] in terms of minimal
resolutions of k [A] and k [B] when< C> is a numerical semigroup obtained by gluing two …

A numerical semigroup is perfect if it has no isolated gaps. In this paper, we will characterize
the perfect numerical semigroups with embedding dimension three, and we show how to …

Even though the study and relevance of maximal embedding dimension numerical
semigroups arises in a natural way among the other numerical semigroups, they have …

A numerical semigroup is perfect if it does not have isolated gaps. In this paper we will order
the perfect numerical semigroups with a fixed multiplicity. This ordering allows us to give an …

A numerical semigroup is said to be perfect if it does not contain any isolated gaps. In this
paper, we will look at some basic properties of isolated gaps in numerical semigroups. In …

Irreducible numerical semigroups with arbitrary multiplicity and embedding dimension Page 1
Journal of Algebra 264 (2003) 305–315 www.elsevier.com/locate/jalgebra Irreducible numerical …

We compute the number of elements of a minimal system of generators for the congruence
of a numerical semigroup with embedding dimension minus multiplicity equal to zero, one …

Let H=〈 a, b, c〉 be a numerical semigroup generated by three elements and let R= k [H] be
its semigroup ring over a field k. We assume that H is not symmetric and assume that the …

From an algebraic point of view, semirings provide the most natural generalization of group
theory and ring theory. In the absence of additive inverses, one has to impose some weaker …