@misc{10481/90624,
year = {2024},
month = {4},
url = {https://hdl.handle.net/10481/90624},
abstract = {From any poset isomorphic to the poset of gaps of a numerical semigroup S with the order induced by S, one can recover S. As an application, we prove that two different numerical semigroups cannot have isomorphic posets (with respect to set inclusion) of ideals whose minimum is zero. We also show that given two numerical semigroups S and T, if their ideal class monoids are isomorphic, then S must be equal to T.},
organization = {Junta de Andalucía  ProyExcel_00868  FQM--343},
organization = {MICIU/AEI/10.13039/501100011033   PID2022-138906NB-C21},
organization = {ERDF "A way of making Europe''},
organization = {Spanish Ministry of Science and Innovation  CEX2020-001105-M},
organization = {Universidad de Granada / CBUA},
keywords = {Poset numerical semigroup},
keywords = {Poset gapset numerical semigroup},
keywords = {Ideal numerical semigroup},
keywords = {Ideal class monoid},
title = {The isomorphism problem for ideal class monoids of numerical semigroups},
author = {García Sánchez, Pedro Abelardo},
}