On a special class of Stanley-Reisner ideals
نویسنده
چکیده مقاله:
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 the generalized suspension of it in the Stanley-Reisner sense. Applications to Stanley-Reisner ideals and simplicial complexes are considered.
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ورودمنابع مشابه
on 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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عنوان ژورنال
دوره 2 شماره 2
صفحات 25- 36
تاریخ انتشار 2014-12-01
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