Monadic MV-algebras are equivalent to monadic \(\ell \)-groups with strong unit

DOI10.1007/s11225-011-9332-4zbMath1247.06008OpenAlexW2033476414MaRDI QIDQ763298

Cecilia Rossana Cimadamore, José Patricio Díaz Varela

Publication date: 9 March 2012

Published in: Studia Logica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11225-011-9332-4

zbMATH Keywords

monadic \(\ell\)-groupmonadic Chang \(\ell\)-groupmonadic MV-algebranatural equivalence

Mathematics Subject Classification ID

MV-algebras (06D35) Ordered groups (06F15)

Related Items (6)

On categorical equivalence of weak monadic residuated distributive lattices and weak monadic c-differential residuated distributive lattices ⋮ Monadic MV-algebras. I: A study of subvarieties ⋮ Monadic MV-algebras. II: Monadic implicational subreducts ⋮ Demiquantifiers on \(\ell \)-groups ⋮ Unnamed Item ⋮ Completeness for monadic fuzzy logics via functional algebras

Cites Work

• Representations of monadic MV-algebras
• Interpretation of AF \(C^*\)-algebras in Łukasiewicz sentential calculus
• An elementary presentation of the equivalence between MV-algebras and \(\ell\)-groups with strong unit
• On monadic MV-algebras
• Algebraic Analysis of Many Valued Logics
• A New Proof of the Completeness of the Lukasiewicz Axioms
• Unnamed Item
• Unnamed Item

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