Monadic MV-algebras are Equivalent to Monadic ℓ-groups with Strong Unit

Studia Logica 98 (1-2):175-201 (2011)
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Abstract

In this paper we extend Mundici’s functor Γ to the category of monadic MV-algebras. More precisely, we define monadic ℓ-groups and we establish a natural equivalence between the category of monadic MV-algebras and the category of monadic ℓ-groups with strong unit. Some applications are given thereof.

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