We exhibit a functor Γ from lattice-ordered abelian groups with strong unit (L. Fuchs, "Partially Ordered Algebraic Systems," Pergamon, New York, 1963) to C. C. Chang's MV algebras (Trans. Amer. Math. Soc. 88 (1958), 467-490), in such a way that every MV algebra is the image of at most one such group.
Mapping abelian l-groups with strong unit one-one into MV-algebras / D. MUNDICI. - In: JOURNAL OF ALGEBRA. - ISSN 0021-8693. - STAMPA. - 98:(1986), pp. 76-81. [10.1016/0021-8693(86)90015-3]
Mapping abelian l-groups with strong unit one-one into MV-algebras
MUNDICI, DANIELE
1986
Abstract
We exhibit a functor Γ from lattice-ordered abelian groups with strong unit (L. Fuchs, "Partially Ordered Algebraic Systems," Pergamon, New York, 1963) to C. C. Chang's MV algebras (Trans. Amer. Math. Soc. 88 (1958), 467-490), in such a way that every MV algebra is the image of at most one such group.
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