On Cohen-Macaulay non-prime collections of cells
Commutative Algebra
2025-05-19 v3 Combinatorics
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.
Keywords
Cite
@article{arxiv.2401.09152,
title = {On Cohen-Macaulay non-prime collections of cells},
author = {Carmelo Cisto and Rizwan Jahangir and Francesco Navarra},
journal= {arXiv preprint arXiv:2401.09152},
year = {2025}
}
Comments
26 pages, 16 figures. To appear in Communications in Algebra