Lattices and hypergraphs associated to square-free monomial ideals

DOI10.1080/00927872.2022.2072853zbMath1498.13059arXiv1804.05919OpenAlexW2797894195MaRDI QIDQ5097409

Sonja Mapes, Kuei-Nuan Lin

Publication date: 23 August 2022

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

Full work available at URL: https://arxiv.org/abs/1804.05919

zbMATH Keywords

projective dimensionhypergraphslatticesmonomial ideals

Mathematics Subject Classification ID

Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02) Combinatorial aspects of commutative algebra (05E40)

Related Items

Hypergraphs with high projective dimension and 1-dimensional hypergraphs

Cites Work

• Finite atomic lattices and resolutions of monomial ideals
• Arithmetical rank of strings and cycles
• Graded syzygies
• Arithmetical rank of squarefree monomial ideals of small arithmetic degree
• The lcm-lattice in monomial resolutions
• Further applications of clutter domination parameters to projective dimension
• On the number of union-free families
• Projective Dimension of String and Cycle Hypergraphs
• Normal 0-1 Polytopes
• Hypergraphs with high projective dimension and 1-dimensional hypergraphs
• Arithmetical Rank of Squarefree Monomial Ideals Generated by Five Elements or with Arithmetic Degree Four
• Bounding Projective Dimension
• HYPERGRAPHS AND REGULARITY OF SQUARE-FREE MONOMIAL IDEALS
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