We introduce the inverse topology on the set of all minimal prime ideals of an MV-algebra A and show that the set of all minimal prime ideals of A, namely Min(A), with the inverse topology is a compact space, Hausdorff, T₀-space and T₁-space. Furthermore, we prove that the spectral topology on Min(A) is a zero-dimensional Hausdorff topology and show that the spectral topology on Min(A) is finer than the inverse topology on Min(A). Finally, by open sets of the inverse topology, we define and study a congruence relation of an MV-algebra.
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Forouzesh et al. (2018) studied this question.