Yosida Type Representation for Perfect MV-Algebras

In [9] Mundici introduced a categorical equivalence Γ between the category of MV‐algebras and the category of abelian l‐groups with strong unit. Using Mundici's functor Γ, in [8] the authors established an equivalence between the category of perfect MV‐algebras and the category of abelian l‐gro...

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Veröffentlicht in:Mathematical logic quarterly 1996, Vol.42 (1), p.551-563
Hauptverfasser: Belluce, Lawrence P., Nola, Antonio Di
Format: Artikel
Sprache:eng
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Zusammenfassung:In [9] Mundici introduced a categorical equivalence Γ between the category of MV‐algebras and the category of abelian l‐groups with strong unit. Using Mundici's functor Γ, in [8] the authors established an equivalence between the category of perfect MV‐algebras and the category of abelian l‐groups. Aim of the present paper is to use the above functors to provide Yosida like representations (see [4]) of a large class of MV‐algebras. Mathematics Subject Classification: 03G20, 03B50, 06D30, 06F20.
ISSN:0942-5616
1521-3870
DOI:10.1002/malq.19960420143