RT journal article
T1 Numerical Semigroups with a Fixed Fundamental Gap
A1 Moreno Frías, María Ángeles
A1 Rosales, José Carlos
K1 umerical semigroup
K1 monoids
K1 fundamental gap
K1 genus
K1 Frobenius number
K1 algorithm
K1 B(a)-rank
AB A gap a of a numerical semigroup S is fundamental if {2a, 3a} ⊆ S. In this work, wewill study the set B(a) = {S | S is a numerical semigroup and a is a fundamental gap of S}.In particular, we will give an algorithm to compute all the elements of B(a) with a givengenus. The intersection of two elements of B(a) is again one element of B(a). A B(a)-irreducible numerical semigroup is an element of B(a) that cannot be expressed as anintersection of two elements of B(a) containing it properly. In this paper, we will studythe B(a)-irreducible numerical semigroups. In this sense we will give an algorithm tocalculate all of them. Finally, we will study the submonoids of (N,+) that can be expressedas an intersection (finite or infinite) of elements belonging to B(a).
PB MDPI
SN 2227-7390
YR 2024
FD 2024
LK http://hdl.handle.net/10498/35432
UL http://hdl.handle.net/10498/35432
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026