On the Golod property of Stanley-Reisner rings
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Publication:2456183
DOI10.1016/j.jalgebra.2007.04.018zbMath1129.13014OpenAlexW2012044540MaRDI QIDQ2456183
Michael Jöllenbeck, Alexander Berglund
Publication date: 17 October 2007
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jalgebra.2007.04.018
Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Syzygies, resolutions, complexes and commutative rings (13D02)
Related Items (24)
LS-category of moment-angle manifolds and higher order Massey products ⋮ \(A_\infty\)-resolutions and the Golod property for monomial rings ⋮ \(\frac{n}{3}\)-neighbourly moment-angle complexes and their unstable splittings ⋮ On the free loop spaces of a toric space ⋮ A non-Golod ring with a trivial product on its Koszul homology ⋮ Higher order Massey products and applications ⋮ Products of ideals and Golod rings ⋮ A Taylor resolution over complete intersections ⋮ The Golod property for products and high symbolic powers of monomial ideals ⋮ Golod and tight 3-manifolds ⋮ The Golod property for Stanley-Reisner rings in varying characteristic ⋮ Products of ideals may not be Golod ⋮ Free resolution of powers of monomial ideals and Golod rings ⋮ Ordinary and symbolic powers are Golod ⋮ The Multiplicity Conjecture for Barycentric Subdivisions ⋮ Golodness and polyhedral products for two-dimensional simplicial complexes ⋮ Moment-angle complexes of pairs \((D^n,S^{n-1})\) and simplicial complexes with vertex-decomposable duals ⋮ On the multigraded Hilbert and Poincaré-Betti series and the Golod property of monomial rings ⋮ The homotopy types of moment-angle complexes for flag complexes ⋮ Stanley-Reisner rings of generalized truncation polytopes and their moment-angle manifolds ⋮ On the rational type of moment-angle complexes ⋮ Теория гомотопий в торической топологии ⋮ Massey products, toric topology and combinatorics of polytopes ⋮ Fat-wedge filtration and decomposition of polyhedral products
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- Combinatorics of multigraded Poincaré series for monomial rings
- Resolutions of Stanley-Reisner rings and Alexander duality
- Morse theory for cell complexes
- Componentwise linear ideals and Golod rings
- Incidence matrices and interval graphs
- On the multigraded Hilbert and Poincaré-Betti series and the Golod property of monomial rings
- Poincaré series of monomial rings
- Discrete Morse theory for cellular resolutions
- Poincare series and resolutions of the residue field over monomial rings
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