On Cohen-Macaulay non-prime collections of cells
arXiv:2401.09152 · doi: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.
26 pages, 16 figures. To appear in Communications in Algebra
References in corpus (6)
- Ideals generated by 2-minors, collection of cells and stack polyominoes
- Hilbert-Poincaré series and Gorenstein property for some non-simple polyominoes
- Primality of weakly connected collections of cells and weakly closed path polyominoes
- Polyocollection ideals and primary decomposition of polyomino ideals
- Shellable simplicial complex and switching rook polynomial of frame polyominoes
- Non-simple polyominoes of Kőnig type and their canonical module