One chain generated varieties of MV-algebras

DOI10.1006/jabr.1999.8136zbMath0949.06004OpenAlexW2093069338MaRDI QIDQ1972417

Ada Lettieri, Antonio Di Nola

Publication date: 7 June 2000

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

Full work available at URL: https://doi.org/10.1006/jabr.1999.8136

zbMATH Keywords

MV-algebrasPost algebrasubvarietyconditionalamalgamationMV-chainabstract conditional space

Mathematics Subject Classification ID

MV-algebras (06D35) Varieties of lattices (06B20) Post algebras (lattice-theoretic aspects) (06D25) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (21)

On Vaught’s Conjecture and finitely valued MV algebras ⋮ On normal forms in Łukasiewicz logic ⋮ Geometry of Robinson consistency in Łukasiewicz logic ⋮ Cyclic elements and subalgebras of GMV-algebras ⋮ The logic of the strongest and the weakest t-norms ⋮ Completeness with respect to a chain and universal models in fuzzy logic ⋮ Perfect GMV-Algebras ⋮ Amalgamation property for some varieties of BL-algebras generated by one finite set of BL-chains with finitely many components ⋮ Transfer theorems for finitely subdirectly irreducible algebras ⋮ Amalgamation property for varieties of BL-algebras generated by one chain with finitely many components ⋮ Some invariant skeletons for \(\ell\)-u groups and MV-algebras ⋮ Finite model property and varieties of BL-algebras ⋮ An extension of Stone duality to fuzzy topologies and MV-algebras ⋮ Representation of perfect and local MV-algebras ⋮ A determination principle for algebras of \(n\)-valued Łukasiewicz logic ⋮ Amalgamation and interpolation in ordered algebras. ⋮ Natural dualities for varieties of MV-algebras. I ⋮ \(n\)-contractive BL-logics ⋮ Symmetric MV-Algebras ⋮ Free products of unital \(\ell \)-groups and free products of generalized MV-algebras ⋮ Interpolation and Beth's property in propositional many-valued logics: a semantic investigation

Cites Work

• Interpretation of AF \(C^*\)-algebras in Łukasiewicz sentential calculus
• Free products in the category of Abelian \(\ell\)-groups with strong unit
• Coproduct MV-algebras, nonstandard reals, and Riesz spaces
• Priestley duality and quotient lattices of many-valued algebras
• Perfect MV-algebras are categorically equivalent to Abelian \(l\)-groups
• Equational characterization of all varieties of MV-algebras
• Algebraic Analysis of Many Valued Logics
• A New Proof of the Completeness of the Lukasiewicz Axioms
• Super-Łukasiewicz propositional logics
• Cyclic Elements in MV‐Algebras and Post Algebras
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