3 papers
math.AC2024
When the poset of the ideal class monoid of a numerical semigroup is a lattice
S. Bonzio, P. A. GarcÃa-Sánchez
We characterize numerical semigroups for which the poset of its ideal class monoid is a lattice, and study the irreducible elements of such a lattice with respect to union, interse…
math.AC2024
The poset of normalized ideals of numerical semigroups with multiplicity three
S. Bonzio, P. A. GarcÃa-Sánchez
We study the poset of normalized ideals of a numerical semigroup with multiplicity three. We show that this poset is always a lattice, and that two different numerical semigroups w…
math.CO2024
Elements with unique length factorization of a numerical semigroup generated by three consecutive numbers
Pedro A. GarcÃa-Sánchez, Laura González, Francesc Planas-Vilanova
Let be the numerical semigroup generated by three consecutive numbers , where , . We describe the elements of whose factorizations have…