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A Common Abstraction of MV-Algebras and Abelian l-groups

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Abstract

We investigate the class of strongly distributive pregroups, a common abstraction of MV-algebras and Abelian l-groups which was introduced by E.Casari. The main result of the paper is a representation theorem which yields both Chang's representation of MV-algebras and Clifford's representation of Abelian l-groups as immediate corollaries.

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Paoli, F. A Common Abstraction of MV-Algebras and Abelian l-groups. Studia Logica 65, 355–366 (2000). https://doi.org/10.1023/A:1005287830751

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