Note on the construction of free MV-algebras

DOI10.1007/s00012-010-0037-8zbMath1196.06006OpenAlexW1991565429MaRDI QIDQ976751

László Fuchs

Publication date: 16 June 2010

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

Full work available at URL: https://doi.org/10.1007/s00012-010-0037-8

zbMATH Keywords

lattice-ordered groupstrong unitorder unit\(l\)-grouppartially ordered abelian groupMcNaughton functionfree MV-algebra\(l\)-isomorphism\(o\)-homomorphismfree \(l\)-groupMcNaughton Theorem

Mathematics Subject Classification ID

MV-algebras (06D35) Ordered groups (06F15) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20)

Related Items (2)

Idempotent endomorphisms of free MV-algebras and unital \(\ell\)-groups ⋮ Projective objects in the categories of abelian \(\ell\)-groups and MV-algebras.

Cites Work

• Interpretation of AF \(C^*\)-algebras in Łukasiewicz sentential calculus
• Groupes et anneaux reticules
• Free lattice-ordered Abelian groups
• Algebraic Analysis of Many Valued Logics
• A constructive proof of McNaughton's theorem in infinite-valued logic
• On Free MV-Algebras
• A theorem about infinite-valued sentential logic

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