An elementary proof of the completeness of the Lukasiewicz axioms
نویسندگان
چکیده
The main aim of this talk is twofold. Firstly, to present an elementary method based on Farkas’ lemma for rationals how to embed any finite partial subalgebra of a linearly ordered MV-algebra into Q [0; 1] and then to establish a new elementary proof of the completeness of the Lukasiewicz axioms for which the MV-algebras community has been looking for a long time. Secondly, 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.
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