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 …

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 …

Abstract Let ge (S)(respectively, go (S)) be the number of even (respectively, odd) gaps of a
numerical semigroup S. In this work we study and characterize the numerical semigroups S …

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 …

For a numerical semigroup, we introduce the concept of a fundamental gap with respect to
the multiplicity of the semigroup. The semigroup is fully determined by its multiplicity and …

Full article: Apery Sets of Numerical Semigroups # Skip to Main Content Taylor and Francis
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A gap a of a numerical semigroup S is fundamental if {2 a, 3 a}⊆ S. In this work, we will
study the set B (a)= S∣ S is a numerical semigroup and a is a fundamental gap of S. In …

On the Set of Gaps in Numerical Semigroups Page 1 International Journal of Algebra, Vol. 1,
2007, no. 3, 145 - 149 On the Set of Gaps in Numerical Semigroups Sedat ILHAN Department …

We introduce the concept of fundamental gap of a numerical semigroup. We give lower and
upper bounds for the number of fundamental gaps of a numerical semigroup in terms of its …

In this study, we deal with the concept of special gap of a numerical semigroup which is
used to find the set of all numerical semigroups containing a given numerical semigroup. We …