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On Cohen-Macaulay non-prime collections of cells (2401.09152v3)
Published 17 Jan 2024 in math.AC and math.CO
Abstract: In this paper we investigate Cohen-Macaulayness, Gorensteinness and the Hilbert-Poincar\'{e} 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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