A truncated minimal free resolution of the residue field

DOI10.1007/978-3-030-91986-3_17zbMath1496.13021arXiv2012.05404OpenAlexW3111248865MaRDI QIDQ2080078

Yanyan Li

Publication date: 7 October 2022

Full work available at URL: https://arxiv.org/abs/2012.05404

zbMATH Keywords

Massey productsKoszul complexminimal free resolutionsGolod ringsTor algebra

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Syzygies, resolutions, complexes and commutative rings (13D02) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07)

Uses Software

• Macaulay2
• DGAlgebras
• GitHub

Cites Work

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• Acyclicity over local rings with radical cube zero
• \(A\)-infinity structure on Ext-algebras.
• Classification of the Tor-algebras of codimension four Gorenstein local rings
• A counterexample to a conjecture of Serre
• A cohomological study of local rings of embedding codepth 3
• A non-Golod ring with a trivial product on its Koszul homology
• Matric Massey products

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