@misc{10481/93397,
year = {2024},
month = {4},
url = {https://hdl.handle.net/10481/93397},
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 = {ProyExcel_00868 (Proyecto
de Excelencia de la Junta de Andalucía)},
organization = {Junta de Andalucía grant number FQM–
343},
organization = {PID2022-138906NB-C21 funded by
MICIU/AEI/10.13039/501100011033},
organization = {ERDF “A way of making Europe”, and from the Spanish
Ministry of Science and Innovation (MICINN)},
organization = {“Severo Ochoa and María de Maeztu Programme
for Centres and Unities of Excellence” (CEX2020-001105-M)},
publisher = {Springer},
keywords = {Poset numerical semigroup},
keywords = {Poset gapset numerical semigroup},
keywords = {Ideal of numerical semigroup},
title = {The isomorphism problem for ideal classmonoids of numerical semigroups},
doi = {10.1007/s00233-024-10429-7},
author = {García Sánchez, Pedro Abelardo},
}