The MacaulayPosets package for Macaulay2
Commutative Algebra
2025-10-28 v1 Combinatorics
Abstract
We introduce the package MacaulayPosets written for the computational algebra system Macaulay2. This package utilized the poset data type introduced in the Posets package and offers functionality for studying the Macaulay property for posets, particularly those which arise as monomial posets of commutative rings. A Macaulay poset is characterized by a ranked structure and a total order that interacts harmoniously with the partial order, enabling the establishment of bounds on the sizes of subsets of a given rank within an order ideal.
Keywords
Cite
@article{arxiv.2510.22843,
title = {The MacaulayPosets package for Macaulay2},
author = {Penelope Beall and Nikola Kuzmanovski and Yu Oliver Li and Alexandra Seceleanu},
journal= {arXiv preprint arXiv:2510.22843},
year = {2025}
}