PSM & ABS Light coming on intermittently

[loxleyboxter]

I Have trickle charged the battery for 12 hours, the charger indicated that the battery was 100% charged. Drove for 1km, and both PSM and ABS lights came on.
The car runs fine,never cuts out, ABS works , the the light on the PSM switch itself doesnt come on on its own ,only the dash warning light and always at the same time as the ABS light. Can this be EITHER the battery or the Alternator?
I appreciate all advice as I am not a mechanic. Thanks