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In this paper, we study skew cyclic codes over the ring$R=\F_q+u\F_q+v\F_q+uv\F_q$, where $u^{2}=u,v^{2}=v,uv=vu$, $q=p^{m}$ and $p$is an odd prime. We investigate the structural properties of skew cyclic codesover $R$ through a decomposition theorem. Furthermore, we give a formula forthe number of skew cyclic codes of length $n$ over $R.$

Skew Cyclic codes over $\F_q+u\F_q+v\F_q+uv\F_q$