Extending Stone duality to multisets and locally finite MV-algebras.
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Publication:1434764
DOI10.1016/j.jpaa.2003.10.021zbMath1055.06004OpenAlexW2159983957MaRDI QIDQ1434764
Eduardo J. Dubuc, Daniele Mundici, Roberto L. O. Cignoli
Publication date: 12 July 2004
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jpaa.2003.10.021
Related Items (31)
A characterization of the free \(n\)-generated MV-algebra ⋮ On Vaught’s Conjecture and finitely valued MV algebras ⋮ Some remarks on infinitesimals in MV-algebras ⋮ Word problems in Elliott monoids ⋮ Are locally finite MV-algebras a variety? ⋮ MV-closures of Wajsberg hoops and applications ⋮ Profinite MV-algebras and multisets. ⋮ A set-theoretic proof of the representation of MV-algebras by sheaves ⋮ Sheaf representations of MV-algebras and lattice-ordered abelian groups via duality ⋮ Categorical properties of compact Hausdorff MV-algebras ⋮ Radically principal MV-algebras ⋮ Natural duality, modality, and coalgebra ⋮ Separable MV-algebras and lattice-ordered groups ⋮ Representation theory of MV-algebras ⋮ Some invariant skeletons for \(\ell\)-u groups and MV-algebras ⋮ A duality for the algebras of a Łukasiewicz \(n+1\)-valued modal system ⋮ Uniformly hyperarchimedean lattice-ordered groups ⋮ Stone duality above dimension zero: axiomatising the algebraic theory of \(\mathrm{C}(X)\) ⋮ An extension of Stone duality to fuzzy topologies and MV-algebras ⋮ MV-algebras, infinite dimensional polyhedra, and natural dualities ⋮ New torsion theory in unital abelian ℓ-groups ⋮ Duality theory and skeleta for semisimple MV-algebras ⋮ Fuzzy topology and Łukasiewicz logics from the viewpoint of duality theory ⋮ States of finite GBL-algebras with monoidal sum ⋮ Equivalence between varieties of square root rings and Boolean algebras with a distinguished automorphism ⋮ Rota's Fubini lectures: the first problem ⋮ Finite axiomatizability in Łukasiewicz logic ⋮ Beth definability and the Stone-Weierstrass theorem ⋮ The spectrum problem for abelian \(\ell\)-groups and MV-algebras ⋮ Unnamed Item ⋮ Stone duality for real-valued multisets
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