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Uniform topology and spectral topology on hyper MV-algebras. (English) Zbl 1180.06009

Summary: \(S\)-reflexive hyper MV-filters of a hyper MV-algebra, uniform structure and uniform topology are introduced, and it is proved that the uniform topology on an MV-algebra is discrete. Next, a (strong) prime hyper MV-filter and spectral topology are studied.

MSC:

06D35 MV-algebras