Notes on divisible MV-algebras
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In this notes, we study the class of divisible MV-algebras inside the algebraic hierarchy of MV-algebras with product. We connect divisible MV-algebras with \(\mathbb Q\)-vector lattices, we present the divisible hull as a categorical adjunction, and we prove a duality between finitely presented algebras and rational polyhedra.
KeywordsDMV-algebras MV-algebras Rational Łukasiewicz logic Divisible hull Rational polyhedra
S. Lapenta acknowledges partial support from the Italian National Research Project (PRIN2010-11) entitled Metodi logici per il trattamento dellinformazione. I. Leuştean was supported by a Grant of the Romanian National Authority for Scientific Research and Innovation, CNCS-UEFISCDI, project number PN-II-RU-TE-2014-4-0730.
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Conflict of interest
Both authors declare that they had no conflict of interest in writing this paper.
This article does not contain any studies with human participants or animals performed by any of the authors.
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