@misc{10481/68295,
year = {2021},
url = {http://hdl.handle.net/10481/68295},
abstract = {Let S and T be two numerical semigroups. We say that T is an I(S)-semigroup if T\{0} is
an ideal of S. Given k a positive integer, we denote by ∆(k) the symmetric numerical semigroup
generated by {2, 2k + 1}. In this paper we present a formula which calculates the number of I(S)-
semigroups with genus g(∆(k)) + h for some nonnegative integer h and which we will denote
by i(∆(k), h). As a consequence, we obtain that the sequence {i(∆(k), h)}h∈N is never decreasing.
Besides, it becomes stationary from a certain term.},
organization = {FQM-298 and FQM-343 (Junta
de Andalucia/Feder)},
organization = {Project MTM2017-84890-P},
publisher = {MDPI},
keywords = {Numerical semigroup},
keywords = {Almost symmetric numerical semigroup},
keywords = {Ideal},
keywords = {I(S)-semigroup},
keywords = {Genus},
title = {Counting the Ideals with a Given Genus of a Numerical Semigroup with Multiplicity Two},
doi = {10.3390/sym13050794},
author = {Moreno Frías, María Ángeles and Rosales González, José Carlos},
}