well, if truly only one week, it may be a bit soon to expect the ammonia to have disappeared... For my tank, it took probably two weeks for the ammonia to disappear (and another one or two for the nitrites to go away).
The normal cycle is as follows: one kind of bacteria forms, and ammonia gets converted to Nitrites... then another kind of bacteria grows, and the Nitrites get converted to Nitrates. The Nitrates continuously build up in your tank (thus partial water changes to keep Nitrates in check). So in a fully-cycled tank, you should have zero ammonia, zero nitrites, and some nitrates. It took my tank (90gal) about one full month to complete the cycle, such that only nitrates were building up.
Going on your question, it sounds like you have ammonia and nitrate, but no nitrite! Which seems very odd... did you mean to say nitrite instead of nitrate? At any rate, it will just take a little more patience, keep testing the water and if in another week there is still ammonia in your tank, maybe someone else can be a better help than me :)