Number of generators of ideals

DOI10.1017/S0027763000003640zbMath0714.13016OpenAlexW1505538982MaRDI QIDQ3199549

Lorenzo Robbiano, Giuseppe Valla, Juan Elias

Publication date: 1991

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000003640

zbMATH Keywords

polynomial ringHilbert functionsdefining ideal of point set in projective spacemaximum number of generatorsnumber of generators of homogeneous perfect ideals

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Relevant commutative algebra (14A05)

Related Items

On the Resolution of Certain Graded Algebras, Structure theorems for certain Gorenstein ideals, Classes of Graded Ideals with Given Data in the Exterior Algebra, On the Betti numbers of Cohen-Macaulay modules, Hilbert functions of graded algebras over Artinian rings, Generic initial ideals and graded Artinian-level algebras not having the weak-Lefschetz property, Numbers of generators of perfect ideals, Syzygies in Hilbert schemes of complete intersections, A note on generators of least degree in Gorenstein ideals, Artinian level algebras of codimension 3, Gröbner bases for spaces of quadrics of low codimension., Bounds for the Betti Numbers of Generalized Cohen-Macaulay Ideals, Unnamed Item, Rigid Hilbert functions, The tangent cone of a local ring of codimension 2

Cites Work

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• A sharp bound for the minimal number of generators of perfect height two ideals
• The Hilbert function of a Cohen-Macaulay local algebra: Extremal Gorenstein algebras
• The number of generators of a colength N ideal in a power series ring
• Bounds for numbers of generators of Cohen-Macaulay ideals
• On the associated graded ring of a local Cohen-Macaulay ring
• Dimension of the punctual Hilbert scheme
• On the number of generators of ideals in local Cohen-Macaulay rings
• Multiplicity andt-isomultiple ideals