A deformation theory approach to Betti numbers of finite length modules

DOI10.1016/0021-8693(91)90263-8zbMath0742.13007OpenAlexW1978178624MaRDI QIDQ1178059

Hara Charalambous, E. Graham jun. Evans

Publication date: 26 June 1992

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

Full work available at URL: https://doi.org/10.1016/0021-8693(91)90263-8

zbMATH Keywords

deformation theorybound for Betti numbers of finite length modules

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) (Co)homology of commutative rings and algebras (e.g., Hochschild, André-Quillen, cyclic, dihedral, etc.) (13D03) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Deformations and infinitesimal methods in commutative ring theory (13D10)

Related Items (4)

Lower Bounds on Betti Numbers ⋮ Lower bounds for Betti numbers of monomial ideals ⋮ Koszul almost complete intersections ⋮ Order ideals, annihilator ideals and pathological behavior

Cites Work

• Betti numbers of multigraded modules
• The structure of linkage
• Almost complete intersections are not Gorenstein rings
• Deformation von Cohen-Macaulay Algebren.
• Obstructions to the Existence of Multiplicative Structures on Minimal Free Resolutions
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• On Isolated Rational Singularities of Surfaces
• Unnamed Item

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