Scalar extensions for algebraic structures of Lukasiewicz logic
Logic
2016-05-05 v1
Abstract
In this paper we study the tensor product for MV-algebras, the algebraic structures of \L ukasiewicz -valued logic. Our main results are: the proof that the tensor product is preserved by the categorical equivalence between the MV-algebras and abelian lattice-order groups with strong unit and the proof of the scalar extension property for semisimple MV-algebras. We explore consequences of this results for various classes of MV-algebras and lattice-ordered groups enriched with a product operation.
Cite
@article{arxiv.1410.8298,
title = {Scalar extensions for algebraic structures of Lukasiewicz logic},
author = {Serafina Lapenta and Ioana Leustean},
journal= {arXiv preprint arXiv:1410.8298},
year = {2016}
}