On the Hilbert function of Gorenstein algebras of socle degree four

DOI10.1016/j.jpaa.2020.106434zbMath1458.13020OpenAlexW3029352938MaRDI QIDQ2220184

Armando Cerminara, Rodrigo Gondim, Giovanna Ilardi, Giuseppe Zappalá

Publication date: 22 January 2021

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2020.106434

zbMATH Keywords

Hilbert functionfull Perazzo algebranon-unimodal \(h\)-vectorTuran algebra

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Cohen-Macaulay modules (13C14) Commutative Artinian rings and modules, finite-dimensional algebras (13E10) Deformations and infinitesimal methods in commutative ring theory (13D10)

Related Items (1)

On minimal Gorenstein Hilbert functions

Cites Work

• On cubic hypersurfaces with vanishing Hessian
• Über Hilbert-Funktionen graduierter Gorenstein-Algebren
• Eine Bedingung für die Flachheit und das Hilbertpolynom eines graduierten Ringes
• Hilbert functions of graded algebras
• Gorenstein algebras presented by quadrics
• Lefschetz elements of Artinian Gorenstein algebras and hessians of homogeneous polynomials
• On the ubiquity of Gorenstein rings
• Stanley’s nonunimodal Gorenstein $h$-vector is optimal
• Lefschetz properties for Artinian Gorenstein algebras presented by quadrics
• On the degree two entry of a Gorenstein $h$-vector and a conjecture of Stanley
• A nonunimodal graded gorenstein artin algebra in codimension five
• Nonunimodality of Graded Gorenstein Artin Algebras
• Graded gorenstein artin algebras whose hilbert functions have a large number of valleys
• Stanley’s theorem on codimension 3 Gorenstein ℎ-vectors
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: On the Hilbert function of Gorenstein algebras of socle degree four