most citedElements with unique length factorization of a numerical semigroup generated by three consecutive numbers

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math.AC2024

When the poset of the ideal class monoid of a numerical semigroup is a lattice

S. Bonzio, P. A. García-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. García-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…