Carmelo Cisto

activity

20192024

most citedIrreducible Generalized Numerical Semigroups and uniqueness of the Frobenius element

14 citations · 58 across the 13 of their papers we have counts for

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3 papers · 1 filter

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★ 14 cited

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}^…

math.CO2019

Algorithms for Generalized Numerical Semigroups

Carmelo Cisto, Manuel Delgado, Pedro A. García-Sánchez

We provide algorithms for performing computations in generalized numerical semigroups, that is, submonoids of $N^{d}$ with finite complement in $N^{d}$ . These sem…