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In [1], Jakubík showed that the class of $\sigma $-interpolation lattice-ordered groups forms a radical class, but left open the question of whether the class forms a torsion class. In this paper, we show that this class does indeed form a torsion class.
[1] Jakubík, J.: On some completeness properties for lattice-ordered groups. Czechoslovak Math. J. 45 (120) (1995), 253–266. MR 1331463
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