  We are concerned with the uniform regularity estimates of solutions to the
two dimensional compressible non-resistive magnetohydrodynamics (MHD) equations
with the no-slip boundary condition on velocity in the half plane. Under the
assumption that the initial magnetic field is transverse to the boundary, the
uniform conormal energy estimates are established for the solutions to
compressible MHD equations with respect to small viscosity coefficients. As a
direct consequence, we proved the inviscid limit of solutions from viscous MHD
systems to the ideal MHD systems in $L^\infty$ sense. It shows that the
transverse magnetic field can prevent the boundary layers from occurring in
some physical regime.
