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math.AC2024
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…
math.AC2024★ 3 cited
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…