Abstract
We investigate existentially complete lattice-ordered groups in this paper. In particular, we list some of their algebraic properties and show that there are continuum many countable pairwise non-elementarily equivalent such latticeordered groups. In particular, existentially complete lattice-ordered groups give rise to a new class of simple groups.
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This paper is dedicated to the memory of Abraham Robinson. Without his pioneer work in model-theoretic forcing, none of this research would have been possible.
Research supported in part by a grant from Bowling Green State University Faculty Research Committee.
Research conducted in part while on sabbatical leave from the University of Missouri.
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Glass, A.M.W., Pierce, K.R. Existentially complete lattice-ordered groups. Israel J. Math. 36, 257–272 (1980). https://doi.org/10.1007/BF02762049
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DOI: https://doi.org/10.1007/BF02762049