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Compact Hausdorff MV-algebras: Structure, Duality and Projectivity by Nganou, Jean B. is a scholarly article available to read on EtoBox.

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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.

Author

Nganou, Jean B.

Published

2017

Language

EN