Amalgamation bases for the class of lattice-ordered groups
V. V. Bludov, A. M. W. Glass · Mathematica Slovaca · 2014
Abstract We prove TheoremA. The cardinal product of two copies of the integers is an amalgamation base for the class of all lattice-ordered groups but their lexicographic product is not. This answers Problem 27 of [Black Swamp Problem Book (W. Charles Holland, ed.), Bowling Green State University, 1982]. We also prove TheoremB. he cardinal product of n copies of the integers is not an amalgamation base for the class of all lattice-ordered groups if n ≥ 3.