Bi-interpretable groups and lattices

Jambu-Giraudet, M.

doi:10.1090/S0002-9947-1983-0697073-2

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: A large class of $0\text {-}2$ 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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