Intuitionistic Fuzzy Prime Spectrum of a Ring

In this paper, we have introduced the topological structure on the set of all intuitionistic fuzzy prime ideals of a ring. This topology is called the Zariski topology or the intuitionistic fuzzy prime spectrum of a ring. We have shown that this topology is always T0-space and is T1-space when R is a ring in which every prime ideal is maximal, but even in this case it is not T2-space. We have also studied a special subspace Y which is always compact and is connected if and only if 0 and 1 are the only idempotent in R. We have also shown that, when the ring R is Boolean ring, then the subspace Y is also T2 – space.  An embedding of space X¢ onto a subspace X* = {A∈X | A is f–invariant} has been established.