G. Failla

activity

20182024

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3 papers · 1 filter

math.CO2024

Generalized Numerical semigroups up to isomorphism

Carmelo Cisto, Gioia Failla, Francesco Navarra

A generalized numerical semigroup is a submonoid $S$ of $N^{d}$ with finite complement in it. We characterize isomorphisms between these monoids in terms of permutation of c…

math.CO2019

A generalization of Wilf's conjecture for Generalized Numerical Semigroups

Carmelo Cisto, Michael DiPasquale, Gioia Failla +3

A numerical semigroup is a submonoid of $N$ with finite complement in $N$ . A generalized numerical semigroup is a submonoid of $N^{d}$ with finite compleme…

math.CO2019

Irreducible Generalized Numerical Semigroups and uniqueness of the Frobenius element

Carmelo Cisto, Gioia Failla, Chris Peterson +1

Let $N^{d}$ be the $d$ -dimensional monoid of non-negative integers. A generalized numerical semigroup is a submonoid $S \subseteq N^{d}$ such that $H(S)=\mathbb{N}^…