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arXiv · 1502.02207

Stone MV-algebras and Strongly complete MV-algebras

Jean B. Nganou
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Abstract

Compact Hausdorff topological MV-algebras and Stone MV-algebras are completely characterized. We obtain that compact Hausdorff topological MV-algebras are product (both topological and algebraic) of copies $[0,1]$ with standard topology and finite Lukasiewicz chains with discrete topology. Going one step further we also prove that Stone MV-algebras are product (both topological and algebraic) of finite Lukasiewicz chains with discrete topology. We also prove that an MV-algebra is strongly complete (isomorphic to its profinite completion) if and only if it is profinite and its maximal ideals of finite ranks are principal.

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BibTeXRIS

Jean B. Nganou. 2015-05-04. Stone MV-algebras and Strongly complete MV-algebras. https://arxiv.org/abs/1502.02207

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