The set of all prime $L$-fuzzy ideals of an ADL $A$ with truth values in a frame $L$ is topologized and the resulting space is denoted by $\mathcal{F}_{L}~Spec~(A)$, called fuzzy Stone space of $A$. Certain properties of the space $\mathcal{F}_{L}~Spe...
The set of all prime $L$-fuzzy ideals of an ADL $A$ with truth values in a frame $L$ is topologized and the resulting space is denoted by $\mathcal{F}_{L}~Spec~(A)$, called fuzzy Stone space of $A$. Certain properties of the space $\mathcal{F}_{L}~Spec~(A)$ are discussed, and it is proved that $\mathcal{F}_{L}~Spec~(A)$ is homeomorphic with the product space $Spec~(A)\times Spec~(L)$.