In this paper we present and study the numerical duplication of a numerical semigroup, a
construction that, starting with a numerical semigroup S and a semigroup ideal E⊆ S …

This article considers numerical semigroups S that have a nonprincipal relative ideal I such
that μ S (I) μ S (S− I)= μ S (I+(S− I)). We show the existence of an infinite family of such pairs …

Numerical semigroups that can be expressed as an intersection of symmetric numerical
semigroups Communicated by M.-F. Roy - ScienceDirect Skip to main contentSkip to article …

The class semigroup of a numerical semigroup SS is the semigroup S (S) S (S) of classes of
the relative ideals of S S. Our aim is to find some properties of S (S) S (S). In particular we …

We study the set of numerical semigroups containing a given numerical semigroup. As an
application we prove characterizations of irreducible numerical semigroups that unify some …

Numerical Semigroups that Differ from a Symmetric Numerical Semigroup in One Element Page
1 Algebra Colloquium c© 2008 AMSS CAS & SUZHOU UNIV Algebra Colloquium 15 : 1 (2008) …

Principal ideals of numerical semigroups Page 1 Principal ideals of numerical semigroups ∗
JC Rosales Abstract We study numerical semigroups of the form (x+S)∪{0} with S a numerical …

Let S be a numerical semigroup and let p be a positive integer. Then the quotient Sp={x∈
N∣ px∈ S} is also a numerical semigroup. When p= 2 we say that S2 is half of the …

Every numerical semigroup S admits a decomposition S= S1∩···∩ Sn with Si irreducible
(that is, Si is symmetric or pseudo-symmetric) for all i. We give lower and upper bounds for …

EUDML | Adding or removing an element from a pseudo-symmetric numerical semigroup Skip
to main content (access key 's'), Skip to navigation (access key 'n'), Accessibility information …