Gorenstein rings generated by strongly stable sets of quadratic monomials

DOI10.1080/00927872.2021.1998517zbMath1490.13030arXiv2008.00898OpenAlexW3046793421MaRDI QIDQ5067675

Ralf Fröberg, Lisa Nicklasson

Publication date: 4 April 2022

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

Full work available at URL: https://arxiv.org/abs/2008.00898

zbMATH Keywords

Hilbert seriesGorenstein ringsstrongly stable sets of monomials

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Structure, classification theorems for modules and ideals in commutative rings (13C05) Theory of modules and ideals in commutative rings described by combinatorial properties (13C70)

Uses Software

• StronglyStableIdeals

Cites Work

• The Veronese construction for formal power series and graded algebras
• Trapezoidal chains and antichains
• On graded rings. I
• Hilbert functions of graded algebras
• Théorème de division et stabilité en géométrie analytique locale
• A stratification of Hilbert schemes by initial ideals and applications
• Gorenstein algebras presented by quadrics
• Blow-up algebras, determinantal ideals, and Dedekind-Mertens-like formulas
• Shifted Plane Partitions of Trapezoidal Shape
• On Fröberg-Macaulay conjectures for algebras
• Toric rings generated by special stable sets of monomials
• Symmetric ladders
• Monomial Ideals
• Subalgebras generated in degree two with minimal Hilbert function
• An efficient implementation of the algorithm computing the Borel-fixed points of a Hilbert scheme

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