ON A SPECIAL CLASS OF STANLEY-REISNER IDEALS

For an n-gon with vertices at points 1; 2;


; n, the Betti numbers of its suspension, the simplicial complex that in- volves two more vertices n + 1 and n + 2, is known. In this paper, with a constructive and simple proof, we generalize this result to nd the minimal free resolution and Betti numbers of the S-module S=I where S = K[x1;


; xn] and I is the associated ideal to the generalized suspension of it in the Stanley-Reisner sense. Applica- tions to Stanley-Reisner ideals and simplicial complexes are con- sidered.