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Representation and reticulation by quotients of MV-algebras. (English) Zbl 0767.06013
Summary: In this note, we establish two results about Chang’s MV-algebras. According to the first theorem, every MV-algebra is isomorphic to an algebra of nonstandard real-valued functions. The second result states that every bounded chain is the Belluce lattice of some MV-algebra. This strengthens previous results in the literature.

MSC:
06D30 De Morgan algebras, Łukasiewicz algebras (lattice-theoretic aspects)
06D35 MV-algebras
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