I AM = English translation of the Hebrew word "Yahweh". "Yahweh" is often used to mean the Jewish God or the God of the old testament (as opposed to the God of the new testament, the God of Islam, etc.)
I think "Allah" is simply the Arabic word for "God", although I could be wrong. (Also the spelling "Moslem" is outdated in English, it's normally spelt "Muslim" now.)
According to the doctrine of the trinity, God is three in one, but each part is fully God (Jesus is both fully God and fully man). However, it wouldn't sound right to me to say that "according to Christianity, Jesus created the world". The doctrine of the trinity is very confusing and contradictory. Much easier to go by the message of the British humanists (as in Hanna's earlier post) - "There's probably no God, now stop worrying and enjoy your life".