Artinian Level Algebras of Low Socle Degree

DOI10.1080/00927872.2012.722736zbMath1295.13034arXiv1208.3506OpenAlexW1969202254WikidataQ57456901 ScholiaQ57456901MaRDI QIDQ5409812

Alessandro De Stefani

Publication date: 14 April 2014

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

Full work available at URL: https://arxiv.org/abs/1208.3506

zbMATH Keywords

inverse systemHilbert functionsisomorphism classesArtinian level local algebras

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Parametrization (Chow and Hilbert schemes) (14C05)

Related Items (3)

Artinian level algebras of socle degree 4 ⋮ The structure of the inverse system of level \(K\)-algebras ⋮ Analytic isomorphisms of compressed local algebras

Uses Software

• CoCoA
• SINGULAR

Cites Work

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• A non-unimodal codimension 3 level \(h\)-vector
• Hilbert functions of filtered modules
• Hilbert function of local Artinian level rings in codimension two
• Hilbert functions of graded algebras
• Artin level modules
• Associated graded algebra of a Gorenstein Artin algebra
• Level Algebras, Lex Segments, and Minimal Hilbert Functions
• Consecutive cancellations in Betti numbers
• On the shape of a pure 𝑂-sequence
• Hilbert functions and level algebras

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