Local algebras in the representation of MV-algebras

DOI10.1007/S00012-007-1984-6zbMath1113.06005OpenAlexW2051064598MaRDI QIDQ873739

I. Esposito, Antonio Di Nola, Brunella Gerla

Publication date: 2 April 2007

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

Full work available at URL: https://doi.org/10.1007/s00012-007-1984-6

zbMATH Keywords

MV-algebraradicalsheaf representationlocal MV-algebraweak Boolean product

Mathematics Subject Classification ID

Stone spaces (Boolean spaces) and related structures (06E15) MV-algebras (06D35)

Related Items (13)

MV-algebras as sheaves of \(\ell\)-groups on fuzzy topological spaces ⋮ On the geometric theory of local MV-algebras ⋮ An algebraic characterization of o-minimal and weakly o-minimal MV-chains ⋮ LATTICE-ORDERED ABELIAN GROUPS AND PERFECT MV-ALGEBRAS: A TOPOS-THEORETIC PERSPECTIVE ⋮ A set-theoretic proof of the representation of MV-algebras by sheaves ⋮ Representation theory of MV-algebras ⋮ The Morita-equivalence between MV-algebras and lattice-ordered abelian groups with strong unit. ⋮ Some invariant skeletons for \(\ell\)-u groups and MV-algebras ⋮ Representation of perfect and local MV-algebras ⋮ Representations of MV-algebras by sheaves ⋮ Abelian \(\ell\)-groups with strong unit and perfect MV-algebras ⋮ On some classes of state-morphism MV-algebras ⋮ Sheaf representations and locality of Riesz spaces with order unit

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