An elementary presentation of the equivalence between MV-algebras and \(\ell\)-groups with strong unit

DOI10.1023/A:1005078213630zbMath0964.06009MaRDI QIDQ1580661

Daniele Mundici, Roberto L. O. Cignoli

Publication date: 9 July 2001

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

zbMATH Keywords

MV-algebranatural equivalenceabelian lattice ordered groupfunctor \(\Gamma\)

Mathematics Subject Classification ID

Other algebras related to logic (03G25) MV-algebras (06D35) Ordered groups (06F15)

Related Items (9)

Two notions of MV-algebraic semisimplicity relative to fixed MV-chains ⋮ A non-commutative generalization of Łukasiewicz rings ⋮ On the Category of EQ-algebras ⋮ Radically principal MV-algebras ⋮ Generalized Łukasiewicz rings ⋮ Unnamed Item ⋮ Varieties of MV-algebras ⋮ Monadic MV-algebras are equivalent to monadic \(\ell \)-groups with strong unit ⋮ Boolean skeletons of MV-algebras and \(\ell \)-groups

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