Cisto, Carmelo and Jahangir, Rizwan and Navarra, Francesco (2025) On Cohen-Macaulay non-prime collections of cells. Communications in Algebra, 53 (9). pp. 3555-3580. ISSN 0092-7872 (Print) 1532-4125 (Online)
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Official URL: https://dx.doi.org/10.1080/00927872.2025.2462801
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.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Cohen-Macaulay; Gorenstein; Hilbert series; polyominoes; rook-polynomial; zig-zag walk |
| Divisions: | Faculty of Engineering and Natural Sciences |
| Depositing User: | Rizwan Jahangir |
| Date Deposited: | 26 Jun 2025 12:06 |
| Last Modified: | 26 Jun 2025 12:06 |
| URI: | https://research.sabanciuniv.edu/id/eprint/51542 |
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