On Cohen-Macaulay non-prime collections of cells
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866918021732237312 |
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| author | Cisto, Carmelo Jahangir, Rizwan Navarra, Francesco |
| author_facet | Cisto, Carmelo Jahangir, Rizwan Navarra, Francesco |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_09152 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On Cohen-Macaulay non-prime collections of cells Cisto, Carmelo Jahangir, Rizwan Navarra, Francesco Commutative Algebra Combinatorics 05B50, 05E40 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. |
| title | On Cohen-Macaulay non-prime collections of cells |
| topic | Commutative Algebra Combinatorics 05B50, 05E40 |
| url | https://arxiv.org/abs/2401.09152 |