%0 Journal Article
%T On a special class of Stanley-Reisner ideals
%J Journal of Algebra and Related Topics
%I University of Guilan
%Z 2345-3931
%A Borna, K.
%D 2014
%\ 12/01/2014
%V 2
%N 2
%P 25-36
%! On a special class of Stanley-Reisner ideals
%K Betti numbers
%K Stanley
%K graded Betti numbers
%K Reisner ideal
%K graded minimal free resolution
%K Stanley-Reisner ideal
%K simplicial complexes
%R
%X 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.
%U https://jart.guilan.ac.ir/article_64_af0fbdf0775d6c6eb49e2f0160e18b3e.pdf