@misc{10481/98524,
year = {2024},
month = {12},
url = {https://hdl.handle.net/10481/98524},
abstract = {A gap a of a numerical semigroup S is fundamental if {2a, 3a} ⊆ S. In this work, we
will 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 given
genus. 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 an
intersection of two elements of B(a) containing it properly. In this paper, we will study
the B(a)-irreducible numerical semigroups. In this sense we will give an algorithm to
calculate all of them. Finally, we will study the submonoids of (N,+) that can be expressed
as an intersection (finite or infinite) of elements belonging to B(a).},
publisher = {MDPI},
keywords = {numerical semigroup},
keywords = {monoids},
keywords = {fundamental gap},
title = {Numerical Semigroups with a Fixed Fundamental Gap},
doi = {10.3390/math13010095},
author = {Moreno Frías, María Ángeles and Rosales González, José Carlos},
}