A Common Abstraction of MV-Algebras and Abelian l-groups |
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| Authors: | Paoli Francesco |
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| Institution: | (1) Classe di Leitere e Filosofia, Scuola Normale Superiore, Piazza dei Cavalieri 7, 56126 Pisa, Italy |
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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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| Keywords: | pregroup MV-algebra Abelian l-group fuzzy logic comparative logic |
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