During the early part of the last century, Ferdinand Georg Frobenius (1849-1917) raised he
following problem, known as the Frobenius Problem (FP): given relatively prime positive …

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 …

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 …

Betti Numbers for Numerical Semigroup Rings | SpringerLink Skip to main content
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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 …

Denote by m (S) the multiplicity of a numerical semigroup S. A covariety is a nonempty family
C of numerical semigroups that fulfils the following conditions: there is the minimum of C, the …

Proportionally modular diophantine inequalities - ScienceDirect Skip to main contentSkip to
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Numerical Semigroups Page 1 JC Rosales PA García-Sánchez DEVELOPMENTS IN
MATHEMATICS 20 Numerical Semigroups Page 2 NUMERICAL SEMIGROUPS Page 3 …

We present two families of numerical semigroups and show that for each family, the number
of required components in an irreducible decomposition cannot be bounded by any given …

In this paper we elaborate on the structure of the semigroup tree and the regularities on the
number of descendants of each node observed earlier by the first author. These regularities …