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arxiv: 1410.8438 · v1 · pith:4JGXRK3Rnew · submitted 2014-10-30 · 🧮 math.LO

The Riesz hull of a semisimple MV-algebra

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keywords rieszhulllattice-orderedgroupsmv-algebramv-algebrassemisimplestrong
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MV-algebras and Riesz MV-algebras are categorically equivalent to abelian lattice-ordered groups with strong unit and, respectively, with Riesz spaces (vector-lattices) with strong unit. A standard construction in the literature of lattice-ordered groups is the vector-lattice hull of an archimedean lattice-ordered group. Following a similar approach, in this paper we define the Riesz hull of a semisimple MV-algebra.

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