In this paper we present a procedure to build the set of irreducible numerical semigroups
with a fixed Frobenius number. The construction gives us a rooted tree structure for this set …

In this paper we present a new approach to construct the set of numerical semigroups with a
fixed genus. Our methodology is based on the construction of the set of numerical …

We study the structure of the family of numerical semigroups with fixed multiplicity and
Frobenius number. We give an algorithmic method to compute all the semigroups in this …

In this paper, we present an efficient algorithm to compute the whole set of numerical
semigroups with a given Frobenius number F. The methodology is based on the …

Families of numerical semigroups closed under finite intersections and adjoin of the Frobenius
number Page 1 Chapter 6 Families of numerical semigroups closed under finite intersections …

We study numerical semigroups generated by intervals and solve the following problems
related to such semigroups: the membership problem, give an explicit formula for the …

For the elements of a numerical semigroup which are larger than the Frobenius number, we
introduce the definition of seed by broadening the notion of generator. This new concept …

In this paper, we characterize those numerical semigroups containing〈 n1, n2〉. From this
characterization, we give formulas for the genus and the Frobenius number of a numerical …

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 …

For a numerical semigroup, we encode the set of primitive elements that are larger than its
Frobenius number and show how to produce in a fast way the corresponding sets for its …