Principal vector-spread Borel ideals
Commutative Algebra
2025-07-31 v2 Combinatorics
Abstract
We study the class of squarefree principal vector-spread Borel ideals. We compute the minimal primary decomposition of these ideals and thereby we prove that they are sequentially Cohen-Macaulay. As the final conclusion of our results, we completely classify the ideals in our class having the property that their ordinary and symbolic powers coincide.
Cite
@article{arxiv.2507.07022,
title = {Principal vector-spread Borel ideals},
author = {Marilena Crupi and Antonino Ficarra and Ernesto Lax},
journal= {arXiv preprint arXiv:2507.07022},
year = {2025}
}