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 Q-vector lattices, we present the divisible hull as a categorical adjunction, and we prove a duality between finitely presented algebras and rational polyhedra.
Notes on divisible MV-algebras
Lapenta, Serafina
;Leuştean, Ioana
2017-01-01
Abstract
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 Q-vector lattices, we present the divisible hull as a categorical adjunction, and we prove a duality between finitely presented algebras and rational polyhedra.File in questo prodotto:
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