Title: Intuitionistic Fuzzy Prime Spectrum of a Ring
Abstract: 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 I X | A is f –invariant} has been established.
Publication Year: 2017
Publication Date: 2017-01-01
Language: en
Type: article
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Cited By Count: 9
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