Regular CW-Complexes and Poset Resolutions of Monomial Ideals

DOI10.1080/00927872.2015.1034545zbMath1349.13031arXiv1310.2315OpenAlexW1433399434MaRDI QIDQ2815419

Timothy B. P. Clark, Alexandre B. Tchernev

Publication date: 28 June 2016

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1310.2315

zbMATH Keywords

syzygiesposetscellular resolutions

Mathematics Subject Classification ID

Combinatorics of partially ordered sets (06A07) Syzygies, resolutions, complexes and commutative rings (13D02)

Related Items (2)

Modules over categories and Betti posets of monomial ideals ⋮ Minimal free resolutions of monomial ideals and of toric rings are supported on posets

Cites Work

• Unnamed Item
• The Eliahou-Kervaire resolution is cellular
• Posets, regular CW complexes and Bruhat order
• On Borel fixed ideals generated in one degree
• The lcm-lattice in monomial resolutions
• Poset resolutions and lattice-linear monomial ideals
• Rigid monomial ideals
• Minimal free resolutions that are not supported by a CW-complex
• On CW complexes supporting Eliahou-Kervaire type resolutions of Borel fixed ideals
• Minimal Free Resolutions of Complete Bipartite Graph Ideals

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