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Local algebras in the representation of MV-algebras

✍ Scribed by A. Di Nola; I. Esposito; B. Gerla

Publisher
Springer
Year
2007
Tongue
English
Weight
690 KB
Volume
56
Category
Article
ISSN
0002-5240

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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

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In this paper, inspired by methods of Bigard, Keimel, and Wolfenstein ([2]), we develop an approach to sheaf representations of MV-algebras which combines two techniques for the representation of MV-algebras devised by Filipoiu and Georgescu ([18]) and by Dubuc and Poveda ([16]). Following Davey app