  We study the BCS-Bose Einstein Condensation (BEC) crossover of a three
dimensional spin polarized Fermi gas with Rashba spin-orbital-coupling (SOC).
At finite temperature, the effects of non-condensed pairs due to the thermal
excitation are considered based on the $G_0G$ pair fluctuation theory. These
fluctuations generate a pseudogap even persistent above $T_c$. Within this
framework, the Sarma state or the spin polarized superfluid state and polarized
pseudogap state are explored in detail. The resulting $T_c$ curves show that
the enhancement of pairing due to the SOC roughly cancels out the suppression
of pairing due to the population imbalance. Thus we observed that in a large
portion of the parameter space, the polarized superfluid state are stabilized
by the SOC.
