Sequences of Betti numbers

DOI10.1016/0021-8693(80)90119-2zbMath0474.13007OpenAlexW1982332211MaRDI QIDQ1159237

Mark Ramras

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1016/0021-8693(80)90119-2

zbMATH Keywords

depthlocal ringincreasing of Betti numbers

Mathematics Subject Classification ID

Homological dimension and commutative rings (13D05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Resolutions; derived functors (category-theoretic aspects) (18G10) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items (5)

Asymptotic properties of Betti numbers of modules over certain rings ⋮ Open problems on syzygies and Hilbert functions ⋮ A modification of Grothendieck’s spectral sequence ⋮ Generic 2 by 2 matrices and periodic resolutions ⋮ Exponential growth of Betti numbers

Cites Work

• Increasing sequences of Betti numbers
• Homological Dimension in Local Rings
• Stable module theory
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