Shifting operations and graded Betti numbers
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Publication:1840655
DOI10.1023/A:1011238406374zbMath0980.13013OpenAlexW39203589MaRDI QIDQ1840655
Takayuki Hibi, Jürgen Herzog, Annetta G. Aramova
Publication date: 10 March 2002
Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1011238406374
Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Syzygies, resolutions, complexes and commutative rings (13D02) Grothendieck groups, (K)-theory and commutative rings (13D15)
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Cites Work
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- Minimal resolutions of some monomial ideals
- An extended Euler-Poincaré theorem
- Squarefree lexsegment ideals
- Stable properties of algebraic shifting
- Gotzmann theorems for exterior algebras and combinatorics
- Ideals with stable Betti numbers
- Extremal Betti numbers and applications to monomial ideals
- Almost regular sequences and Betti numbers
- Combinatorics and commutative algebra
