On the extensions of Di Nola's Theorem

Michal Botur; Jan Paseka

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arXiv · 1305.3408

On the extensions of Di Nola's Theorem

Michal Botur·Jan Paseka

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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 $\mathbb Q\cap [0,1].$

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BibTeX RIS

Michal Botur, Jan Paseka. 2013-05-15. On the extensions of Di Nola's Theorem. https://arxiv.org/abs/1305.3408

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