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arXiv · 2401.09152

On Cohen-Macaulay non-prime collections of cells

Carmelo Cisto·Rizwan Jahangir·Francesco Navarra
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Abstract

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 closed path polyominoes are Cohen-Macaulay and we characterize those that are Gorenstein.

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Carmelo Cisto, Rizwan Jahangir, Francesco Navarra. 2025-03-01. On Cohen-Macaulay non-prime collections of cells. https://doi.org/10.1080/00927872.2025.2462801

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