your alternator was never the problem. Its your battery and/or charging system. the reason the lights get brighter is because the car isn't getting the propper amount of energy from the battery and is having to directly draw off of the alternator. when the engine is rev'ed the alternator spins faster creating more current to charge the battery, witch is why the lights brighten at higher rpms.
Sounds like your alternator and battery need to be replaced soon.
The computer only resets when the battery is removed. The alternator just charges the battery, so if the battery is left connected when the alternator is replaced, the computer should not reset.
alternator is going out Or the belt is slipping
did you check the alternator??
Inside the alternator
Voltage regulator or loose wire.
Check the battery cables or starter.
Alternator is not charging. Have it tested and/or replaced.
You can have the alternator tested free of charge at just about any major auto parts store. By the way, a bad alternator will not "discharge" a battery - the alternator's function is to provide the charge to the battery. If the alternator is faulty, then it is not providing the charge necessary to keep other components from discharging the battery. I had the alternator tested and it was charging. If the alternator has a bad diode, it will discharge the battery. I replaced the alternator and everything is fine.
alternator needs to be replaced. battery also might be a problem due to the alternator not charging it
defective alternator
It could be an alternator. Check with a mechanic if that is the issue.