The Chang-Mundici equivalence between the category of MV-algebras and the category of lattice-ordered abelian groups with strong unit allows us to translate facts/problems about Lukasiewicz many valued logics into facts/problems about partially ordered abelian groups, and conversely. After giving a brief survey of the theory, we study the automorphism groups of the free MV-algebras, i.e., the Lindenbaum algebras of Lukasiewicz logics
This talk is based on [2]. We establish, generalizing Di Nola and Lettieri’s categorical equivalence...
In previous investigations into the subject {[}Giuntini et al. (2007, Studia Logica, 87, 99-128)...
We propose the notion of automata over Lukasiewicz many-valued logic, extending fuzzy automata ([9])...
In “A new proof of the completeness of the Lukasiewicz axioms” (Trans Am Math Soc 88, 1959) Chang pr...
In “A new proof of the completeness of the Lukasiewicz axioms” (Trans Am Math Soc 88, 1959) Chang pr...
In this paper we study the tensor product for MV-algebras, the algebraic structures of Åukasiewicz ...
AbstractUp to categorical equivalence, abelian lattice-ordered groups with strong unit coincide with...
We show that the theory of MV-algebras is Morita-equivalent to that of abelian ℓ-groups with strong ...
In many-valued logic a question arises about the existence of a logical matrix M = (A,D) that is str...
AbstractWe exhibit a functor Γ from lattice-ordered abelian groups with strong unit (L. Fuchs, “Part...
MV-algebras are the algebraic counterparts of infinite-valued sentential calculus of Lukasiewicz log...
A many-valued modal logic with connectives interpreted in the ordered additive group of real numbers...
We provide a generalization of Mundici’s equivalence between unital Abelian lattice-ordered groups a...
We establish, generalizing Di Nola and Lettieri's categorical equivalence, a Morita-equivalence betw...
AbstractUp to categorical equivalence,MV-algebras are unit intervals of abelian lattice-ordered grou...
This talk is based on [2]. We establish, generalizing Di Nola and Lettieri’s categorical equivalence...
In previous investigations into the subject {[}Giuntini et al. (2007, Studia Logica, 87, 99-128)...
We propose the notion of automata over Lukasiewicz many-valued logic, extending fuzzy automata ([9])...
In “A new proof of the completeness of the Lukasiewicz axioms” (Trans Am Math Soc 88, 1959) Chang pr...
In “A new proof of the completeness of the Lukasiewicz axioms” (Trans Am Math Soc 88, 1959) Chang pr...
In this paper we study the tensor product for MV-algebras, the algebraic structures of Åukasiewicz ...
AbstractUp to categorical equivalence, abelian lattice-ordered groups with strong unit coincide with...
We show that the theory of MV-algebras is Morita-equivalent to that of abelian ℓ-groups with strong ...
In many-valued logic a question arises about the existence of a logical matrix M = (A,D) that is str...
AbstractWe exhibit a functor Γ from lattice-ordered abelian groups with strong unit (L. Fuchs, “Part...
MV-algebras are the algebraic counterparts of infinite-valued sentential calculus of Lukasiewicz log...
A many-valued modal logic with connectives interpreted in the ordered additive group of real numbers...
We provide a generalization of Mundici’s equivalence between unital Abelian lattice-ordered groups a...
We establish, generalizing Di Nola and Lettieri's categorical equivalence, a Morita-equivalence betw...
AbstractUp to categorical equivalence,MV-algebras are unit intervals of abelian lattice-ordered grou...
This talk is based on [2]. We establish, generalizing Di Nola and Lettieri’s categorical equivalence...
In previous investigations into the subject {[}Giuntini et al. (2007, Studia Logica, 87, 99-128)...
We propose the notion of automata over Lukasiewicz many-valued logic, extending fuzzy automata ([9])...