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Algebraically closed MV-algebras and their sheaf representation

✍ Scribed by A. Di Nola; A.R. Ferraioli; G. Lenzi

Book ID: 119190956
Publisher: Elsevier Science
Year: 2013
Tongue: English
Weight: 162 KB
Volume: 164
Category: Article
ISSN: 0168-0072
DOI: 10.1016/j.apal.2012.10.017

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## 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