Projective MV-algebras and rational polyhedra

DOI10.1007/s00012-010-0039-6zbMath1196.06004OpenAlexW1964644649MaRDI QIDQ976753

Daniele Mundici, Leonardo Manuel Cabrer

Publication date: 16 June 2010

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

Full work available at URL: https://doi.org/10.1007/s00012-010-0039-6

zbMATH Keywords

retractionMV-algebrarational polyhedronunimodular triangulationprojective MV-algebrastar-shaped polyhedron

Mathematics Subject Classification ID

General topology of complexes (57Q05) MV-algebras (06D35) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Injectives, projectives (08B30) Triangulating (57R05)

Related Items (9)

Computing on Lattice-Ordered Abelian Groups ⋮ RATIONAL POLYHEDRA AND PROJECTIVE LATTICE-ORDERED ABELIAN GROUPS WITH ORDER UNIT ⋮ Idempotent endomorphisms of free MV-algebras and unital \(\ell\)-groups ⋮ Implicative subreducts of MV-algebras: free and weakly projective objects ⋮ Confluence and combinatorics in finitely generated unital lattice-ordered abelian groups ⋮ Algebraic geometry for \(\ell \)-groups ⋮ Generators of projective MV-algebras ⋮ Finite axiomatizability in Łukasiewicz logic ⋮ Projectivity in (bounded) commutative integral residuated lattices

Cites Work

• Interpretation of AF \(C^*\)-algebras in Łukasiewicz sentential calculus
• Free products in the category of Abelian \(\ell\)-groups with strong unit
• Farey stellar subdivisions, ultrasimplicial groups, and \(K_ 0\) of AF \(C^*\)-algebras
• Algebraic foundations of many-valued reasoning
• Applications of Duality in the Theory of Finitely Generated Lattice-Ordered Abelian Groups
• Free Vector Lattices
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