  In this work, we have performed Monte Carlo simulations to study phase
transitions in a mixed spin-1 and spin-3/2 Ising ferrimagnetic system on the
square and cubic lattices and with two different single-ion anisotropies. This
lattice is divided in two interpenetrating sublattices with spins $S^A = 1$
(states $\pm1$ and 0) on the sublattice $A$ and $S^B = 3/2$ (states $\pm 3/2$,
$\pm 1/2$) on the sublattice $B$. We have used single-ion anisotropies $D_{A}$
and $D_{B}$ acting on the sites of the sublattice $A$ and $B$, receptively. We
have determined the phase diagrams of the model in the temperature $T$ versus
the single-ion anisotropies strength $D_A$ and $D_B$ plane and shown that the
system exhibits both second- and first-order phase transitions. We also have
shown that this system displays compensation points for some values of the
anisotropies.
