## 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
✦ LIBER ✦
Topological representation for implication algebras
✍ Scribed by Manuel Abad; J. Patricio Díaz Varela; Antoni Torrens
- Publisher
- Springer
- Year
- 2004
- Tongue
- English
- Weight
- 184 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0002-5240
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## Abstract In this work we provide a new topological representation for implication algebras in such a way that its one‐point compactification is the topological space given in [1]. Some applications are given thereof (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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