2014/10/30 by Denisa Diaconescu, Diaconescu, Denisa, Ioana Leustean +1
Mathematics · #FOS: Mathematics #Logic (math.LO) #math.LO
paper · pdf · doi:10.48550/arxiv.1410.8438
arxiv created 2014/10/30 · arxiv updated 2014/10/31
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.