ON A SPECIAL CLASS OF STANLEY-REISNER IDEALS

Abstract. 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 find 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