You can see current effects on a ship by moving your curser over it, and looking at the status log on the right hand side of the screen. Just like with planets special abilities/effects - ships will list all effects they are under towards the bottom of the log.
Doocc
I picked up the game the same time my brother and my buddy did. My wife left us alone and we lan'd for about 24 hours strait. Later I started my first real AI game on a extra large random galaxy with a mix of hard and normal AI. Just my luck I was sandwiched in with 2 of the hard AI's from the begining. My TEC strat is to planet grab; tech up key early economy; build up fleet and planets; tech up key military with the ocasional economy tech (ignoring culture the whole time); contin