On the number of generators of ideals in local Cohen-Macaulay rings

DOI10.1016/0021-8693(79)90209-6zbMath0408.13007OpenAlexW2108470131MaRDI QIDQ1258345

David Eisenbud, David Rees, M. Boratynski

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0021-8693(79)90209-6

zbMATH Keywords

MultiplicityNumber of GeneratorsMinimal Number of GeneratorsTwodimensional Local Cohen-Macaulay Ring

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)

Related Items

The Hilbert function of a Cohen-Macaulay local algebra: Extremal Gorenstein algebras, Number of generators of ideals, The number of generators of a colength N ideal in a power series ring, Generators of ideals and multiplicities, Reduction numbers of equimultiple ideals, David Rees, FRS 1918–2013, Characterizing finite length local cohomology in terms of bounds on Koszul cohomology, Index of reducibility of parameter ideals in a local ring, On the number of generators of Cohen-Macaulay ideals, Number of generators of a Cohen-Macaulay ideal.

Cites Work

• Sur une inégalité à la Minkowski pour les multiplicités
• On the boundedness and the unboundedness of the number of generators of ideals and multiplicity
• Note on multiplicities of ideals
• Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
• Parametrizations of Analytic Varieties
• Stable Ideals and Arf Rings
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