Gotzmann theorems for exterior algebras and combinatorics
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Publication:1357556
DOI10.1006/jabr.1996.6903zbMath0897.13030OpenAlexW1997087560MaRDI QIDQ1357556
Takayuki Hibi, Jürgen Herzog, Annetta G. Aramova
Publication date: 7 July 1997
Published in: Journal of Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1006/jabr.1996.6903
Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)
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Cites Work
- Some wonderful rings in algebraic geometry
- Minimal resolutions of some monomial ideals
- New constructive methods in classical ideal theory
- A theorem on refining division orders by the reverse lexicographic order
- Families of finite sets with minimum shadows
- An extended Euler-Poincaré theorem
- Squarefree lexsegment ideals
- Eine Bedingung für die Flachheit und das Hilbertpolynom eines graduierten Ringes
- A simple proof of the Kruskal-Katona theorem
- Koszul cycles and Eliahou-Kervaire type resolutions
- Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems
- Upper bounds for the number of facets of a simplicial complex
- Upper bounds for the betti numbers of a given hilbert function
- Maximum betti numbers of homogeneous ideals with a given hilbert function
- Koszul Resolutions
- Combinatorics and commutative algebra
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