Profinite completions and MacNeille completions of MV-algebras

Jean B Nganou

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arXiv · 1603.03172

Profinite completions and MacNeille completions of MV-algebras

Jean B Nganou

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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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BibTeX RIS

Jean B Nganou. 2016-03-10. Profinite completions and MacNeille completions of MV-algebras. https://arxiv.org/abs/1603.03172

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