A non-Golod ring with a trivial product on its Koszul homology

DOI10.1016/j.jalgebra.2017.01.042zbMath1370.13014arXiv1511.04883OpenAlexW2963993388MaRDI QIDQ2400338

Lukas Katthän

Publication date: 28 August 2017

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

Full work available at URL: https://arxiv.org/abs/1511.04883

zbMATH Keywords

monomial idealStanley-Reisner ringGolod ringMassey product

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 (18)

LS-category of moment-angle manifolds and higher order Massey products ⋮ On monomial Golod ideals ⋮ \(A_\infty\)-resolutions and the Golod property for monomial rings ⋮ Homological properties of the homology algebra of the Koszul complex of a local ring: examples and questions ⋮ \(\frac{n}{3}\)-neighbourly moment-angle complexes and their unstable splittings ⋮ Higher order Massey products and applications ⋮ Products of ideals and Golod rings ⋮ On restricted powers of complete intersections ⋮ Golod and tight 3-manifolds ⋮ Automorphisms of the Koszul homology of a local ring ⋮ Golodness and polyhedral products for two-dimensional simplicial complexes ⋮ A Golod complex with non-suspension moment-angle complex ⋮ The Golod property for powers of ideals and Koszul ideals ⋮ On higher Massey products and rational formality for moment-angle manifolds over multiwedges ⋮ Massey products, toric topology and combinatorics of polytopes ⋮ A survey on the Koszul homology algebra ⋮ A truncated minimal free resolution of the residue field ⋮ Toric objects associated with the dodecahedron

Uses Software

• GAP
• Macaulay2
• simpcomp

Cites Work

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• Golodness and polyhedral products for two-dimensional simplicial complexes
• On the Golod property of Stanley-Reisner rings
• On the multigraded Hilbert and Poincaré-Betti series and the Golod property of monomial rings
• Matric Massey products
• Poincaré series of monomial rings
• The homotopy types of moment-angle complexes for flag complexes
• Obstructions to the Existence of Multiplicative Structures on Minimal Free Resolutions
• Cellular resolutions of monomial modules
• ON THE DENOMINATOR OF THE POINCARÉ SERIES FOR MONOMIAL QUOTIENT RINGS
• Massey Higher Products

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