  We investigate the chiral symmetry restoration/breaking of a dense,
magnetized and rotating quark matter within the Nambu Jona-Lasinio model
including $N_f=2$ and $N_c=3$ numbers of flavors and colors, respectively.
Imposing the spectral boundary conditions, as well as the positiveness of
energy levels, lead to a correlation between the magnetic and rotation fields
such that strongly magnetized plasma can not rotate anymore. We solve the gap
equation at zero and finite temperature. At finite temperature and baryon
chemical potential $\mu_B$, we sketch the phase diagrams $T_c(\mu_B)$ and
$T_c(R\Omega)$ in different cases. As a result, we always observe
inverse-rotational catalysis mean to decrease $T_c$ by increasing $R\Omega$.
But the magnetic field has a more complex structure in the phase diagram. For
slowly rotating plasma, we find that $T_c$ decreases by increasing $eB$, while
in the fast rotating plasma we see that $T_c$ increases by increasing $eB$.
Also, we locate exactly the position of Critical End Point by solving the
equations of first and second derivatives of effective action with respect to
the order parameters, simultaneously.
