  The effect of decoherence on a qubit-qutrit system under the influence of
global and multilocal decoherence in non-inertial frames is investigated. It is
shown that the entanglement sudden death (ESD) can be avoided in non-inertial
frames in the presence of dephasing and bit-trit phase flip channels for entire
range of decoherence. However, ESD behaviour is seen for higher level of
decoherence in case of phase flip and bit-trit flip channels. Irrespective of
the entanglement degradation caused by the Unruh effect, no ESD occurs for the
dephasing environment. Furthermore, flipping channels have approximately
similar effect on the entanglement of the hybrid system.
