5 citations · 5 across the 1 of their papers we have counts for
3 papers
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…
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…