198 citations
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math.LO2018
Categorical Equivalence between - product algebras and semi-low -rings
Lilian J. Cruz, Yuri A. Poveda
An explicit categorical equivalence is defined between a proper subvariety of the class of -algebras, as defined by Di Nola and Dvureenskij, to be called -al…
math.LO2014
On the equivalence between MV-algebras and -groups with strong unit
Eduardo J. Dubuc, Yuri A. Poveda
In "A new proof of the completeness of the Lukasiewicz axioms"} (Transactions of the American Mathematical Society, 88) C.C. Chang proved that any totally ordered -algebra …
math.LO2008★ 3 cited
Representation theory of mv-algebras
Eduardo J. Dubuc, Yuri A. Poveda
In this paper we develop a general representation theory for mv-algebras. We furnish the appropriate categorical background to study this problem. Our guide line is the theory of c…