The battery light comes on intermittently then.

The battery light comes on intermittently then goes back off. The engine light does not come on. It is difficult to test when the light is on because it does not stay on for long periods. I checked the battery and alternator. The only problem I could find is that the battery cable ends were not very tight on the battery posts they were as tight as you could get them with the adjusting nut, so I replaced both of them. It is still happening. It is difficult to get directly to the alternator. The measurments look OK at the battery. The only other issue I could see was that some of the cable anchors for the wires coming from the alternator were broken and one of the plug wires had a questionable area on it where it hd been laying against the manifold. I used zip ties to anchor the wiring and plug wire. It still didn't appear to resolve hte issue with the indicator. Any suggestions?