Yosida Type Representation for Perfect MV-Algebras

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
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Sprache:eng
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group
MV-algebra
Perfect MV-algebra
Yosida representation
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creator Belluce, Lawrence P.
Nola, Antonio Di
description 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.
doi_str_mv 10.1002/malq.19960420143
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subjects group
MV-algebra
Perfect MV-algebra
Yosida representation
title Yosida Type Representation for Perfect MV-Algebras
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