‘不’,‘没有’ or only ‘没’,and ‘没有’ is equles to '没'.
the small difference is that '不' emphasises the Subject's will, S DON'T WANT to do that, but '没' tend to declare the fact it didn't happen.'没' is only used in past tense. but '不' is used in future or present tense.
try to think about this sentence :
我这次没生你的气,不代表我永远不会生你的气。