In a process for identifying a process (P1) and its resources, the process (P1) is provided with a first identifier (PID1) that unambiguously identifies the process (P1) and its resources. The process (P1) is further provided with a second identifier (RID1) that unambiguously identifies the process (P1) and its resources, and particularly after a premature termination of the process (P1), a new process (P2) which continues the functions of the terminated process (P1) is started. The new process (P2) retains the second identifier (RID1) of the terminated process (P1) as its second identifier. The new process (P2) which continues the terminated process (P1) can then, furthermore, access the resources of the terminated process (P1).