14 citations · 58 across the 13 of their papers we have counts for
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Generalized Numerical semigroups up to isomorphism
Carmelo Cisto, Gioia Failla, Francesco Navarra
A generalized numerical semigroup is a submonoid of with finite complement in it. We characterize isomorphisms between these monoids in terms of permutation of c…
On some classes of generalized numerical semigroups
Carmelo Cisto, Francesco Navarra
A generalized numerical semigroup is a submonoid of with finite complement in it. In this work we study some properties of three different classes of generalized num…
On some numerical semigroup transforms
Carmelo Cisto
In this paper we introduce a particular semigroup transform that fixes the invariants involved in Wilf's conjecture, except the embedding dimension. It also allows on…
Primality of closed path polyominoes
Carmelo Cisto, Francesco Navarra
In this paper we introduce a new class of polyominoes, called closed paths, and we study the primality of their associated ideal. Inspired by an existing conjecture that characteri…
On almost-symmetry in generalized numerical semigroups
Carmelo Cisto, Wanderson Tenório
In this work we introduce the notion of almost-symmetry for generalized numerical semigroups. In addition to the main properties occurring in this new class, we present several cha…
A generalization of Wilf's conjecture for Generalized Numerical Semigroups
Carmelo Cisto, Michael DiPasquale, Gioia Failla +3
A numerical semigroup is a submonoid of with finite complement in . A generalized numerical semigroup is a submonoid of with finite compleme…
Irreducible Generalized Numerical Semigroups and uniqueness of the Frobenius element
Carmelo Cisto, Gioia Failla, Chris Peterson +1
Let be the -dimensional monoid of non-negative integers. A generalized numerical semigroup is a submonoid such that $H(S)=\mathbb{N}^…
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 with finite complement in . These sem…