Let $R=K[x_1,\ldots, x_n]$ be the polynomial ring over the field $K$ and Let $[n]=\{1,\ldots,n\}$ be the vertex set and $\Delta$ be a simplicial complex on $[n]$. In this talk, we give a brief review of simplicial complex and some results which is connected combinatorial to algebra. Moreover, we give some examples.
