A sharp bound for the minimal number of generators of perfect height two ideals

DOI10.1007/BF01168615zbMath0588.13018MaRDI QIDQ1073103

Juan Elias

Publication date: 1986

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155129

zbMATH Keywords

multiplicityheightHilbert functionregular local ringminimal number of generatorsCohen-Macaulayheight two perfect ideals

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Regular local rings (13H05)

Related Items

Unnamed Item, On the number of equations defining affine varieties with isolated singularities, Number of generators of ideals, A moduli scheme of embedded curve singularities, Multiplicity andt-isomultiple ideals, Three results on the number of generators of ideals, Basically full ideals in local rings., Rigid Hilbert functions, The tangent cone of a local ring of codimension 2

Cites Work

• The Hilbert function of a Cohen-Macaulay local algebra: Extremal Gorenstein algebras
• Generators of ideals and multiplicities
• Ideals defined by matrices and a certain complex associated with them
• On Generators of Ideals
• Form rings and regular sequences
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