Frigidaire Electric Range trips arc-fault circuit breaker in another room
The surface burner controllers on electric ranges work by making and breaking the circuit to the heating element. I don't know the frequency at which this occurs, but this mode of operation would appear to have the potential to trigger an arc fault breaker or receptacle. See https://en.wikipedia.org/wiki/Energy_regulator

Therefore, some ranges might trip some AFCI breakers or receptacles. Is AFCI protection appropriate for a kitchen? I thought AFCI was for bedrooms. 

Frigidaire is a name brand of range so I would first suspect the AFCI receptacle or breaker. What is the type (receptacle or breaker) and brand of AFCI device you have in the kitchen circuits of these apartments?