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

Francesco Paoli
Studia Logica: An International Journal for Symbolic Logic
Vol. 65, No. 3 (Aug., 2000), pp. 355-366
Published by: Springer
Stable URL: http://www.jstor.org/stable/20016197
Page Count: 12
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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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