Priestley dualities for some lattice-ordered algebraic structures, including MTL, IMTL and MV-algebras

DOI10.2478/s11533-006-0025-6zbMath1114.06010OpenAlexW2059051322MaRDI QIDQ861580

Sergio Arturo Celani, Leonardo Manuel Cabrer

Publication date: 29 January 2007

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/s11533-006-0025-6

zbMATH Keywords

Priestley dualityMV-algebrastopological representationIMTL-algebrasalgebraic structures of fuzzy logicbounded distributive lattices with fusion and implicationMTL-algebrasresiduated distributive lattices

Mathematics Subject Classification ID

Fuzzy logic; logic of vagueness (03B52) Logical aspects of lattices and related structures (03G10) Lattices and duality (06D50) MV-algebras (06D35)

Related Items (12)

Priestley duality for MV-algebras and beyond ⋮ Modules with fusion and implication based over distributive lattices: representation and duality ⋮ A variety of algebras closely related to subordination algebras ⋮ Algebras with implication and fusion: a different point of view. ⋮ Group representation for even and odd involutive commutative residuated chains ⋮ A categorical equivalence for bounded distributive quasi lattices satisfying: x ∨ 0 = 0 ⇒ x = 0 ⋮ Dual tableau for monoidal triangular norm logic MTL ⋮ Discrete dualities for \(n\)-potent MTL-algebras and 2-potent BL-algebras ⋮ MV-algebras, infinite dimensional polyhedra, and natural dualities ⋮ Algebras for Galois-style connections and their discrete duality ⋮ XIV Latin American Symposium on Mathematical Logic (SLALM) ⋮ A topological approach to MTL-algebras

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