  We study the synchronization of time-delayed nonidentical maps subject to
unidirectional (master-slave) coupling. The individual dynamics of the maps
have a delay n1, and the coupling acts with a delay n2. We show analytically
that, suitably tuning the slave map parameters, two distinct synchronization
regimes can occur. In one regime the lag time between the slave and the master
maps is given by the delay of the coupling, n2, while in the other regime is
given by the difference between the delays, n1-n2. We analyze the effect of the
coupling strength on the different synchronization regimes in logistic and
H\'enon maps.
