In this paper we will study cyclic codes over some special rings: $mathbb{F}_q[u]/(u^i)$, $mathbb{F}_q[u_1,{ldots},u_i]/(u^2_1,u^2_2,{ldots},u^2_i,u_1u_2-u_2u_1,{ldots},u_ku_j-u_ju_k,{ldots})$, and $mathbb{F}_q[u,v]/(u^i,v^j,uv-vu)$, where $mathbb{F}_q$ is a field with $q$ elements $q=p^r$ for some prime number $p$ and $r{in}mathbb{N}-{0}$.