On the number of generators of ideals defining Gorenstein Artin algebras with Hilbert function \(\left(1,n+1, 1+\binom{n+1}{2},\dots,\binom{n+1}{2}+1, n+1,1\right)\)
DOI10.1007/s13366-014-0228-0zbMath1334.13016arXiv1304.0305OpenAlexW286526578MaRDI QIDQ5962898
Sabine El Khoury, A. V. Jayanthan, Hema Srinivasan
Publication date: 25 February 2016
Published in: Beiträge zur Algebra und Geometrie (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1304.0305
Structure, classification theorems for modules and ideals in commutative rings (13C05) Commutative rings and modules of finite generation or presentation; number of generators (13E15) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)
Cites Work
- A characterization of Gorenstein Hilbert functions in codimension four with small initial degree
- Hilbert functions of graded algebras
- Artinian Gorenstein algebras of embedding dimension four: components of \(\mathbb P\)Gor\((H)\) for \(H=(1,4,7,\ldots,1)\)
- A Class of Gorenstein Artin Algebras of Embedding Dimension Four
- Structure Theory for a Class of Grade Four Gorenstein Ideals
- Algebra Structures for Finite Free Resolutions, and Some Structure Theorems for Ideals of Codimension 3
- Unnamed Item
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