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arXiv · 1308.4733

Profinite MV-algebras

Jean B. Nganou
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Abstract

We characterize all profinite MV-algebras, these are MV-algebras that are inverse limits of finite MV-algebras. It is shown that these are exactly direct product of finite \L ukasiewicz's chains. We also prove that the category $\mathbb{M}$ of multisets is dually equivalent to the category $\mathbb{P}$ of profinite MV-algebras and homomorphisms that reflect principal maximal ideals. Thus generalizing the corresponding result for finite MV-algebras, and finite multisets.

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BibTeXRIS

Jean B. Nganou. 2013-08-21. Profinite MV-algebras. https://arxiv.org/abs/1308.4733

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