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arXiv · 1705.07373

Compact Hausdorff MV-algebras: Structure, Duality and Projectivity

Jean B. Nganou
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Abstract

It is proved that the category $\mathbb{EM}$ of extended multisets is dually equivalent to the category $\mathbb{CHMV}$ of compact Hausdorff MV-algebras with continuous homomorphisms, which is in turn equivalent to the category of complete and completely distributive MV-algebras with homomorphisms that reflect principal maximal ideals. Urysohn-Strauss's Lemma, Gleason's Theorem, and projective objects are also investigated for topological MV-algebras.

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Jean B. Nganou. 2017-06-08. Compact Hausdorff MV-algebras: Structure, Duality and Projectivity. https://arxiv.org/abs/1705.07373

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