On the second powers of Stanley-Reisner ideals
نویسندگان
چکیده
منابع مشابه
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In this article we associate to every lattice ideal IL,ρ ⊂ K[x1, . . . , xm] a cone σ and a graph Gσ with vertices the minimal generators of the Stanley-Reisner ideal of σ. To every polynomial F we assign a subgraph Gσ(F ) of the graph Gσ. Every expression of the radical of IL,ρ, as a radical of an ideal generated by some polynomials F1, . . . , Fs gives a spanning subgraph of Gσ, the ∪ s i=1Gσ...
متن کاملon a special class of stanley-reisner ideals
for an $n$-gon with vertices at points $1,2,cdots,n$, the betti numbers of its suspension, the simplicial complex that involves two more vertices $n+1$ and $n+2$, is known. in this paper, with a constructive and simple proof, wegeneralize this result to find the minimal free resolution and betti numbers of the $s$-module $s/i$ where $s=k[x_{1},cdots, x_{n}]$ and $i$ is the associated ideal to ...
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ژورنال
عنوان ژورنال: Journal of Commutative Algebra
سال: 2011
ISSN: 1939-2346
DOI: 10.1216/jca-2011-3-3-405