On Hilbert functions of reduced and of integral algebras

DOI10.1016/0022-4049(89)90123-0zbMath0673.13015OpenAlexW2067111412MaRDI QIDQ1120627

Moshe Roitman, Leslie G. Roberts

Publication date: 1989

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(89)90123-0

zbMATH Keywords

Hilbert function of N points in projective spaceintegral algebra with a given Hilbert functionreduced algebra

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) 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) Special varieties (14M99) Integral domains (13G05)

Related Items

Some examples of unimodal Gorenstein sequences, Certain projective curves with unusual Hilbert function, Smooth points of \(\text{Gor}(T)\), Distinguishing \(\Bbbk\)-configurations, The Waldschmidt constant of special \(\Bbbk\)-configurations in \(\mathbb{P}^n\), Unnamed Item, Fat points, partial intersections and Hamming distance, On the Hilbert function of a graded Cohen-Macaulay domain, About \(K\)-configurations in \(\mathbb{P}^ 2\), Hilbert functions of schemes of double and reduced points, \(k\)-configurations in \(\mathbb{P}^3\) all have extremal resolutions, Extremal point sets and Gorenstein ideals, The construction of some Gorenstein ideals of codimension \(4\), The hilbert function and the minimal free resolution of some gorenstein ideals of codimension 4, Unimodal sequences of Gorenstein ideals of codimension 4

Cites Work

• On the lifting problem for homogeneous ideals in polynomial rings
• Monomial ideals and points in projective space
• Hilbert functions of graded algebras
• The Hilbert Function of a Reduced K -Algebra
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