@misc{10498/25138,
year = {2021},
month = {5},
url = {http://hdl.handle.net/10498/25138},
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 Delta(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(Delta(k))+h for some nonnegative integer h and which we will denote by i(Delta(k),h). As a consequence, we obtain that the sequence {i(Delta(k),h)}(h is an element of N) is never decreasing. Besides, it becomes stationary from a certain term.},
publisher = {MDPI},
keywords = {numerical semigroup},
keywords = {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, José Carlos},
}