Profinite Completions of MV-algebras
Jean Bernard Nganou · arXiv (Cornell University) · 2016
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 prove that every profinite MV-algebra is the profinite completion of a separating MV-algebra of $[0,1]$-valued continuous functions on some nonempty compact Hausdorff space, with pointwise operations.