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  1. Free Constructions in Hoops via $$\ell $$-Groups.Valeria Giustarini, Francesco Manfucci & Sara Ugolini - forthcoming - Studia Logica:1-49.
    Lattice-ordered abelian groups, or abelian$$\ell $$ ℓ -groups in what follows, are categorically equivalent to two classes of 0-bounded hoops that are relevant in the realm of the equivalent algebraic semantics of many-valued logics: liftings of cancellative hoops and perfect MV-algebras. The former generate the variety of product algebras, and the latter the subvariety of MV-algebras generated by perfect MV-algebras, that we shall call $$\textsf{DLMV}$$ DLMV. In this work we focus on these two varieties and their relation to the structures (...)
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