arXiv Open Access 2025

The MacaulayPosets package for Macaulay2

Penelope Beall Nikola Kuzmanovski Yu Oliver Li Alexandra Seceleanu

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Abstrak

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.

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Penulis (4)

Penelope Beall

Nikola Kuzmanovski

Yu Oliver Li

Alexandra Seceleanu

Format Sitasi

APA MLA BibTeX

Beall, P., Kuzmanovski, N., Li, Y.O., Seceleanu, A. (2025). The MacaulayPosets package for Macaulay2. https://arxiv.org/abs/2510.22843

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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓