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Mathematica Slovaca

Editor-in-Chief: Pulmannová, Sylvia


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Volume 65, Issue 4

Issues

The Riesz Hull of a Semisimple MV-Algebra

D. Diaconescu / I. Leuștean
Published Online: 2015-10-15 | DOI: https://doi.org/10.1515/ms-2015-0056

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.

Keywords : MV-algebra; Riesz MV-algebra; Riesz hull; v-hull

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About the article

Received: 2013-06-01

Accepted: 2013-12-11

Published Online: 2015-10-15

Published in Print: 2015-08-01


Citation Information: Mathematica Slovaca, Volume 65, Issue 4, Pages 801–816, ISSN (Online) 1337-2211, ISSN (Print) 0139-9918, DOI: https://doi.org/10.1515/ms-2015-0056.

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