  We discuss the spin relaxation of a strongly correlated two-dimensional (2D)
electron gas (2DEG) in the quantized Hall regime when the filling factor is
close to an odd-integer. As the initial state we consider a coherent deviation
of the spin system from the ${\bf B}$ direction and investigate a break-down of
this Goldstone-mode state due to the spin-orbit (SO) coupling and smooth
disorder. The spin relaxation (SR) process is considered in terms of
annihilation transitions in the system of spin excitons (magnons).
