Well ordered covers, simplicial bouquets, and subadditivity of Betti numbers of square-free monomial ideals

DOI10.1007/978-3-030-91986-3_12zbMath1496.13019arXiv2106.01898OpenAlexW3167153511MaRDI QIDQ2080073

Sara Faridi, Mayada Shahada

Publication date: 7 October 2022

Full work available at URL: https://arxiv.org/abs/2106.01898

zbMATH Keywords

Betti numberssubadditivitymonomial idealsbouquetswell ordered covers

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02)

Uses Software

• Macaulay2

Cites Work

• Unnamed Item
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• Non-vanishingness of Betti Numbers of Edge Ideals
• Three simplicial resolutions
• A note on the subadditivity problem for maximal shifts in free resolutions
• Resolutions of Facet Ideals
• A note on the subadditivity of Syzygies
• The regularity of Tor and graded Betti Numbers
• Bouquets, vertex covers and edge ideals

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