RT journal article
T1 Counting the numerical semigroups with a specific special gap
A1 Moreno Frías, María Ángeles
A1 Rosales, José Carlos
A2 Matemáticas
K1 A(a)-irreducible numerical semigroup
K1 ANI-semigroup
K1 atomic numerical semigroup
K1 Frobenius number
K1 gap
K1 genus
K1 irreducible numerical semigroup
AB Let S be a numerical semigroup. An element x ∈  N\S is a special gap of Sif S ­∪{x} is also a numerical semigroup. If a is a positive integer, wedenote by A(a) the set of all numerical semigroups for which a is a specialgap. We say that an element of A(a) is A(a)-irreducible if it cannotbe expressed as the intersection of two numerical semigroups of A(a),properly containing it. The main aim of this paper is to describe threealgorithmic procedures: the first one calculates the elements of A(a), thesecond one determines whether or not a numerical semigroup isA(a)-irreducible and the third one computes all the A(a)-irreduciblesnumerical semigroups.
PB Taylor & Francis
SN 1532-4125
YR 2022
FD 2022
LK http://hdl.handle.net/10498/35536
UL http://hdl.handle.net/10498/35536
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026