Combinatorics of multigraded Poincaré series for monomial rings

DOI10.1016/j.jalgebra.2006.08.020zbMath1161.13007OpenAlexW2043432915MaRDI QIDQ868851

Jonah Blasiak, Alexander Berglund, Patricia Hersh

Publication date: 26 February 2007

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.08.020

zbMATH Keywords

diagonal arrangementslattice poset homologymonomial ringmultigraded Poincaré series

Mathematics Subject Classification ID

Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40)

Related Items

On the Golod property of Stanley-Reisner rings ⋮ On sequentially Cohen-Macaulay complexes and posets

Cites Work

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• Whitney homology of semipure shellable posets
• A class of hypergraph arrangements with shellable intersection lattice
• Resolutions of Stanley-Reisner rings and Alexander duality
• The lcm-lattice in monomial resolutions
• Componentwise linear ideals and Golod rings
• Homotopy Lie algebras and Poincaré series of algebras with monomial relations
• Resolutions and lattices
• The homology of ``\(k\)-equal manifolds and related partition lattices
• Syzygies of oriented matroids
• On the multigraded Hilbert and Poincaré-Betti series and the Golod property of monomial rings
• Poincaré series of monomial rings
• Finite regularity and Koszul algebras
• Shellable and Cohen-Macaulay Partially Ordered Sets
• Determination of a class of Poincaré series.
• Poincare series and resolutions of the residue field over monomial rings
• Shellable Nonpure Complexes and Posets. I