Stone duality for Dedekind \(\sigma\)-complete \(\ell\)-groups with order-unit

DOI10.1016/j.jalgebra.2006.05.029zbMath1108.06011OpenAlexW2091380762MaRDI QIDQ855747

Roberto L. O. Cignoli, Daniele Mundici

Publication date: 7 December 2006

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2006.05.029

zbMATH Keywords

Stone dualitylattice-ordered abelian groupbasically disconnected spacecomplete MV-algebra

Mathematics Subject Classification ID

Lattices and duality (06D50) MV-algebras (06D35) Ordered groups (06F15) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items

States on semi-divisible generalized residuated lattices reduce to states on MV-algebras ⋮ Sheaf representations of MV-algebras and lattice-ordered abelian groups via duality ⋮ STONE DUALITY FOR R0-ALGEBRAS WITH INTERNAL STATES ⋮ An extension of Stone duality to fuzzy topologies and MV-algebras ⋮ Stone MV-algebras and strongly complete MV-algebras

Cites Work

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• Interpretation of AF \(C^*\)-algebras in Łukasiewicz sentential calculus
• Groupes et anneaux reticules
• Affine representations of Grothendieck groups and applications to Rickart 𝐶*-algebras and ℵ₀-continuous regular rings
• K₀ D’Un Anneau Dont Les Localises Centraux Sont Simples Artiniens