## Abstract Let __M__ be an MV‐algebra and Ω~__M__~ be the set of all __σ__ ‐valuations from __M__ into the MV‐unit interval. This paper focuses on the characterization of MV‐algebras using __σ__ ‐valuations of MV‐algebras and proves that a __σ__ ‐complete MV‐algebra is __σ__ ‐regular, which means
Yosida Type Representation for Perfect MV-Algebras
✍ Scribed by Lawrence P. Belluce; Antonio Di Nola
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 685 KB
- Volume
- 42
- Category
- Article
- ISSN
- 0044-3050
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✦ Synopsis
In [9] Mundici introduced a categorical equivalence I' between the category of MV-algebras and the category of abelian .!-groups with strong unit. Using Mundici's functor r, in [a] the authors established an equivalence between the category of perfect MValgebras and the category of abelian f-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.
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