@misc{10498/35536,
year = {2022},
url = {http://hdl.handle.net/10498/35536},
abstract = {Let S be a numerical semigroup. An element x ∈  N\S is a special gap of S
if S ­∪{x} is also a numerical semigroup. If a is a positive integer, we
denote by A(a) the set of all numerical semigroups for which a is a special
gap. We say that an element of A(a) is A(a)-irreducible if it cannot
be expressed as the intersection of two numerical semigroups of A(a),
properly containing it. The main aim of this paper is to describe three
algorithmic procedures: the first one calculates the elements of A(a), the
second one determines whether or not a numerical semigroup is
A(a)-irreducible and the third one computes all the A(a)-irreducibles
numerical semigroups.},
publisher = {Taylor & Francis},
keywords = {A(a)-irreducible numerical semigroup},
keywords = {ANI-semigroup},
keywords = {atomic numerical semigroup},
keywords = {Frobenius number},
keywords = {gap},
keywords = {genus},
keywords = {irreducible numerical semigroup},
title = {Counting the numerical semigroups with a specific special gap},
doi = {10.1080/00927872.2022.2082458},
author = {Moreno Frías, María Ángeles and Rosales, José Carlos},
}