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Licensed Unlicensed Requires Authentication Published by De Gruyter October 15, 2015

The Riesz Hull of a Semisimple MV-Algebra

  • D. Diaconescu EMAIL logo and I. Leuștean
From the journal Mathematica Slovaca

Abstract

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 latticeordered group. Following a similar approach, in this paper we define the Riesz hull of a semisimple MV-algebra.

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Received: 2013-6-1
Accepted: 2013-12-11
Published Online: 2015-10-15
Published in Print: 2015-8-1

© 2015

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