  Quantum coherence, quantum entanglement and quantum nonlocality are important
resources in quantum information precessing. However, decoherence happens when
a quantum system interacts with the external environments. We study the
dynamical evolution of the three-qubit GHZ-like states in non-inertial frame
when one and/or two qubits undergo decoherence. Under the amplitude damping
channel we show that the quantum decoherence and the Unruh effect may have
quite different influences on the initial state. Moreover, the genuine
tripartite entanglement and the quantum coherence may suffer sudden death
during the evolution. The quantum coherence is most resistent to the quantum
decoherence and the Unruh effect, then comes the quantum entanglement and the
quantum nonlocality which is most fragile among the three. The results provide
a new research perspective for relativistic quantum informatics.
