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The MacaulayPosets package for Macaulay2
[Submitted on 26 Oct 2025 (v1), last revised 7 Jul 2026 (this ve · 2025-10-27 · via math updates on arXiv.org

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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.

Submission history

From: Alexandra Seceleanu [view email]
[v1] Sun, 26 Oct 2025 21:21:38 UTC (37 KB)
[v2] Tue, 7 Jul 2026 18:35:26 UTC (58 KB)