English

On the extensions of Di Nola's Theorem

Logic 2013-05-16 v1

Abstract

The main aim of this paper is to present a direct proof of Di Nola's representation Theorem for MV-algebras and to extend his results to the restriction of the standard MV-algebra on rational numbers. The results are based on a direct proof of the theorem which says that any finite partial subalgebra of a linearly ordered MV-algebra can be embedded into Q[0,1].\mathbb Q\cap [0,1].

Keywords

Cite

@article{arxiv.1305.3408,
  title  = {On the extensions of Di Nola's Theorem},
  author = {Michal Botur and Jan Paseka},
  journal= {arXiv preprint arXiv:1305.3408},
  year   = {2013}
}