Bi-interpretable groups and lattices
Author:
M. Jambu-Giraudet
Journal:
Trans. Amer. Math. Soc. 278 (1983), 253-269
MSC:
Primary 06F15; Secondary 03C52
DOI:
https://doi.org/10.1090/S0002-9947-1983-0697073-2
MathSciNet review:
697073
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Abstract | References | Similar Articles | Additional Information
Abstract: A large class of 0- transitive lattice-ordered groups is finitely axiomatizable as a class of groups and as a class of lattices. In each model, the group structure and the lattice structure plus one parameter are bi-interpretable, sometimes up to duality only. A characterization of lattice-automorphisms of the structures is also given.
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1983-0697073-2
Article copyright:
© Copyright 1983
American Mathematical Society