The "battery" light means:
The charging system is not working.
This involves the alternator, voltage regulator, ignition switch, wiring, fuse, fused link, battery light; maybe the PCM and a battery temperature sensor.
With the engine idling and the headlights on, the battery voltage should be around 14.4 volts. WHAT is it? That means measure it with a voltmeter and tell us.
Chrysler Corp. has some of its voltage regulators in the PCM (the powertrain control module, the computer).
If that's where yours is, and it's defective, you need to replace your "computer", or else install an external voltage regulator and rewire the circuit.
There may also be a battery temperature sensor near the battery.
-General automotive mechanic since 1972