Representation and reticulation by quotients of MV-algebras

zbMath0767.06013MaRDI QIDQ1199977

Antonio Di Nola

Publication date: 17 January 1993

Published in: Ricerche di Matematica (Search for Journal in Brave)

zbMATH Keywords

MV-algebraBelluce latticealgebra of nonstandard real-valued functionsbounded chain

Mathematics Subject Classification ID

MV-algebras (06D35) De Morgan algebras, ?ukasiewicz algebras (lattice-theoretic aspects) (06D30)

Related Items (23)

Local MV-algebras ⋮ Franco Montagna's work on provability logic and many-valued logic ⋮ Hyperfinite MV-algebras ⋮ A characterization of pseudofinite MV-algebras ⋮ MV-algebras as sheaves of \(\ell\)-groups on fuzzy topological spaces ⋮ Projective limits of \(MV\)-spaces ⋮ An expansion of basic logic with fixed points ⋮ State morphism MV-algebras ⋮ Unnamed Item ⋮ Priestley duality and quotient lattices of many-valued algebras ⋮ Representation of perfect and local MV-algebras ⋮ MV-algebras with internal states and probabilistic fuzzy logics ⋮ Representation of MV-algebras by regular ultrapowers of \([0,1\)] ⋮ A Note on Representing and Interpreting MV-Algebras ⋮ Riesz-McNaughton functions and Riesz MV-algebras of nonlinear functions ⋮ The semiring-theoretic approach to MV-algebras: a survey ⋮ Varieties of BL-algebras. III: Splitting algebras ⋮ Abelian \(\ell\)-groups with strong unit and perfect MV-algebras ⋮ Stable Non-standard Imprecise Probabilities ⋮ Pro-finite MV-spaces ⋮ Operators on MV-algebras and their representations. ⋮ Another proof of the completeness of the Łukasiewicz axioms and of the extensions of Di Nola's theorem. ⋮ Non-standard probability, coherence and conditional probability on many-valued events

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