abstract: In this talk, we compute cohomology rings of small covers for coefficient ring $\mathbb Q$ or $\mathbb Zq$, where $q$ is an odd integer. In particular, we compute betti numbers of small covers corresponding to a hyper graph. As an application, for any given odd integer $q>1$, we construct a real toric manifold whose cohomology ring has a $q$-torsion.