Level Algebras of Type 2
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Publication:5470029
DOI10.1080/00927870500387986zbMath1108.13019arXivmath/0411228OpenAlexW2021608773MaRDI QIDQ5470029
Publication date: 29 May 2006
Published in: Communications in Algebra (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0411228
\(h\)-vector\(O\)-sequenceminimal free resolutionsinverse systemsArtinian graded algebraGorenstein \(h\)-vectorscodimension of a ringsocle-vectors
Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Graded rings (13A02) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)
Related Items (7)
Improving the bounds of the multiplicity conjecture: The codimension 3 level case ⋮ Generic initial ideals and graded Artinian-level algebras not having the weak-Lefschetz property ⋮ Proof of the Gorenstein interval conjecture in low socle degree ⋮ Artinian level algebras of codimension 3 ⋮ On the shape of a pure 𝑂-sequence ⋮ Reducible family of height three level algebras ⋮ Partial derivatives of a generic subspace of a vector space of forms: Quotients of level algebras of arbitrary type
Cites Work
- Eine Bedingung für die Flachheit und das Hilbertpolynom eines graduierten Ringes
- Hilbert functions of graded algebras
- Smooth points of \(\text{Gor}(T)\)
- Some special configurations of points in \(\mathbb P^n\)
- Reduced arithmetically Gorenstein schemes and simplicial polytopes with maximal Betti numbers.
- Extending the idea of compressed algebra to arbitrary socle-vectors.
- Ancestor ideals of vector spaces of forms, and level algebras.
- Artinian level modules and cancellable sequences
- Extending the idea of compressed algebra to arbitrary socle-vectors. II: Cases of non-existence
- Some examples of unimodal Gorenstein sequences
- Artinian Gorenstein algebras of embedding dimension four: components of \(\mathbb P\)Gor\((H)\) for \(H=(1,4,7,\ldots,1)\)
- A nonunimodal graded gorenstein artin algebra in codimension five
- Graded gorenstein artin algebras whose hilbert functions have a large number of valleys
- Level Algebras, Lex Segments, and Minimal Hilbert Functions
- Hilbert functions and level algebras
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