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math.CO2024★ 1 cited
Open problems on relations of numerical semigroups
Alessio Moscariello, Alessio Sammartano
We collect some open problems about minimal presentations of numerical semigroups and, more generally, about defining ideals and free resolutions of their semigroup rings and assoc…
math.CO2024★ 1 cited
On minimal presentations of numerical monoids
Alessio Moscariello, Alessio Sammartano
We consider the classical problem of determining the largest possible cardinality of a minimal presentation of a numerical monoid with given embedding dimension and multiplicity. V…