In this paper we study the tensor product for MV-algebras, the algebraic structures of Åukasiewicz â-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 these results for various classes of MV-algebras and lattice-ordered groups enriched with a product operation.
Scalar extensions for algebraic structures of Lukasiewicz logic
Lapenta, S.
;Leuştean, I.
2016
Abstract
In this paper we study the tensor product for MV-algebras, the algebraic structures of Åukasiewicz â-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 these results for various classes of MV-algebras and lattice-ordered groups enriched with a product operation.File in questo prodotto:
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