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Profinite completions and MacNeille completions of MV-algebras (1603.03172v3)
Published 10 Mar 2016 in math.LO
Abstract: We determine the profinite completions of MV-algebras, and obtain a description that generalizes the well known profinite completions of Boolean algebras as the power sets of their Stone spaces. We also use the description found to characterize profinite MV-algebras that are isomorphic to the profinite completion of an MV-algebra. Finally, MV-algebras for which the profinite Completion and MacNeille completion are isomorphic are characterized.
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