Growth of Betti numbers of modules over generalized Golod rings

DOI10.1006/jabr.1997.7170zbMath0961.13007OpenAlexW2087673568MaRDI QIDQ1379063

Li-Chuan Sun

Publication date: 29 May 2001

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7170

zbMATH Keywords

Betti sequencegeneralized Golod ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03)

Related Items (3)

Extremal growth of Betti numbers and trivial vanishing of (co)homology ⋮ Poincaré series of modules over compressed Gorenstein local rings ⋮ Asymptotic behavior of dimensions of syzygies

Cites Work

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• Homology of Noetherian rings and local rings
• The non-vanishing of the deviations of a local ring
• A counterexample to a conjecture of Serre
• Local rings over which all modules have rational Poincaré series
• Growth of Betti numbers of modules over local rings of small embedding codimension or small linkage number
• Modules with extremal resolutions
• Huneke-Ulrich almost complete intersections of Cohen-Macaulay type two
• A proof of the existence of minimal R-algebra resolutions
• On the Hilbert series of the homology of differential gaded algebras.
• A Change of Ring Theorem with Applications to Poincaré Series and Intersection Multiplicity.

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