  Superconductivity in the Hubbard model is studied on a series of lattices in
which dimers are coupled in various types of arrays. Using fluctuation exchange
method and solving the linearized Eliashberg equation, the transition
temperature $T_c$ of these systems is estimated to be much higher than that of
the Hubbard model on a simple square lattice, which is a model for the high
$T_c$ cuprates. We conclude that these `dimer array' systems can generally
exhibit superconductivity with very high $T_c$. Not only $d$-electron systems,
but also $p$-electron systems may provide various stages for realizing the
present mechanism.
