  We study the synchronization of two chaotic maps with unidirectional
(master-slave) coupling. Both maps have an intrinsic delay $n_1$, and coupling
acts with a delay $n_2$. Depending on the sign of the difference $n_1-n_2$, the
slave map can synchronize to a future or a past state of the master system. The
stability properties of the synchronized state are studied analytically, and we
find that they are independent of the coupling delay $n_2$. These results are
compared with numerical simulations of a delayed map that arises from
discretization of the Ikeda delay-differential equation. We show that the
critical value of the coupling strength above which synchronization is stable
becomes independent of the delay $n_1$ for large delays.
