The isomorphism problem for ideal classmonoids of numerical semigroups García Sánchez, Pedro Abelardo Poset numerical semigroup Poset gapset numerical semigroup Ideal of numerical semigroup 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 . 2024-07-23T09:55:27Z 2024-07-23T09:55:27Z 2024-04-16 journal article García Sánchez, P.A. Semigroup Forum (2024) 108:365–376. [https://doi.org/10.1007/s00233-024-10429-7] https://hdl.handle.net/10481/93397 10.1007/s00233-024-10429-7 eng http://creativecommons.org/licenses/by/4.0/ open access Atribución 4.0 Internacional Springer