Stone duality for real-valued multisets

DOI10.1515/form.2011.109zbMath1273.06006OpenAlexW2330578833MaRDI QIDQ3143541

Vincenzo Marra, Roberto L. O. Cignoli

Publication date: 30 November 2012

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/form.2011.109

zbMATH Keywords

Stone dualityMV-algebrasScott topologymultisetsdual equivalence

Mathematics Subject Classification ID

Lattices and duality (06D50) Stone spaces (Boolean spaces) and related structures (06E15) MV-algebras (06D35)

Related Items

Are locally finite MV-algebras a variety? ⋮ Pro-compactly finite MV-algebras ⋮ Profinite MV-algebras and multisets. ⋮ Sheaf representations of MV-algebras and lattice-ordered abelian groups via duality ⋮ Categorical properties of compact Hausdorff MV-algebras ⋮ Radically principal MV-algebras ⋮ Some classes of abstract simplicial complexes motivated by module theory ⋮ Separable MV-algebras and lattice-ordered groups ⋮ THREE CHARACTERIZATIONS OF STRICT COHERENCE ON INFINITE-VALUED EVENTS ⋮ STRICT COHERENCE ON MANY-VALUED EVENTS ⋮ An extension of Stone duality to fuzzy topologies and MV-algebras

Cites Work

• Representation theory of MV-algebras
• Residuation groupoids -- again
• Interpretation of AF \(C^*\)-algebras in Łukasiewicz sentential calculus
• Extending Stone duality to multisets and locally finite MV-algebras.
• Concerning bricks