RT journal article
T1 Counting the Ideals with a Given Genus of a Numerical Semigroup with Multiplicity Two
A1 Moreno Frías, María Ángeles
A1 Rosales, José Carlos
A2 Matemáticas
K1 numerical semigroup
K1 symmetric numerical semigroup
K1 ideal
K1 I(S)-semigroup
K1 genus
AB 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.
PB MDPI
SN 2073-8994
YR 2021
FD 2021-05
LK http://hdl.handle.net/10498/25138
UL http://hdl.handle.net/10498/25138
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026