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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Bi-interpretable groups and lattices


Author: M. Jambu-Giraudet
Journal: Trans. Amer. Math. Soc. 278 (1983), 253-269
MSC: Primary 06F15; Secondary 03C52
MathSciNet review: 697073
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Abstract: A large class of 0-$ 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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DOI: http://dx.doi.org/10.1090/S0002-9947-1983-0697073-2
PII: S 0002-9947(1983)0697073-2
Article copyright: © Copyright 1983 American Mathematical Society