14 citations · 58 across the 13 of their papers we have counts for
15 papers
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…
Collections of cells, binomial ideals and combinatorics
Carmelo Cisto, Rizwan Jahangir, Francesco Navarra
In this paper we provide a description of the package \textit{PolyominoIdeals} for \textit{Macaulay2} that allows to deal with collections of cells, polyominoes and related binomia…
On Cohen-Macaulay non-prime collections of cells
Carmelo Cisto, Rizwan Jahangir, Francesco Navarra
In this paper we investigate Cohen-Macaulayness, Gorensteinness and the Hilbert-Poincaré series for some classes of non-prime collections of cells. In particular, we show that all…
Ideal extensions of free commutative monoids
C. Cisto, P. A. Garcia-Sanchez, D. Llena
We introduce a new family of monoids, which we call gap absorbing monoids. Every gap absorbing monoid is an ideal extension of a free commutative monoid. For a gap absorbing monoid…
Polyocollection ideals and primary decomposition of polyomino ideals
Carmelo Cisto, Francesco Navarra, Dharm Veer
In this article, we study the primary decomposition of some binomial ideals. In particular, we introduce the concept of polyocollection, a combinatorial object that generalizes the…
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…
On Gröbner bases and Cohen-Macaulay property of closed path polyominoes
Carmelo Cisto, Francesco Navarra, Rosanna Utano
In this paper we introduce some monomial orders for the class of closed path polyominoes and we prove that the set of the generators of the polyomino ideal attached to a closed pat…
Hilbert-Poincaré series and Gorenstein property for some non-simple polyominoes
Carmelo Cisto, Francesco Navarra, Rosanna Utano
Let be a closed path having no zig-zag walks, a kind of non-simple thin polyomino. In this paper we give a combinatorial interpretation of the -polynomial of $K[\m…
Primality of weakly connected collections of cells and weakly closed path polyominoes
Carmelo Cisto, Francesco Navarra, Rosanna Utano
In this paper we study the primality of weakly connected collections of cells, showing that the ideal generated by inner 2-minors attached to a weakly connected and simple collecti…
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…