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Some Notes on Elimination Properties for The Theory of Riesz MV-Chains

  • Enrico Marchioni EMAIL logo
Published/Copyright: October 15, 2015
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Abstract

Riesz MV-algebras are a variety of algebras strongly connected to Riesz spaces. In this short article we investigate some elimination properties of the first-order theory RMV of linearly ordered Riesz MV-algebras and show that RMV admits elimination of quantifiers and uniform elimination of imaginary elements. In the process, we also prove several other results such as modelcompleteness, o-minimality, definability of Skolem functions, and a version of the Di Nola Representation Theorem for Riesz MV-algebras.

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Received: 2013-5-15
Accepted: 2013-12-9
Published Online: 2015-10-15
Published in Print: 2015-8-1

© 2015

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