$$\sigma$$-interpolation lattice-ordered groups.(English)Zbl 1035.06004

Summary: J. Jakubík [Czech. Math. J. 45, 253–266 (1995; Zbl 0835.06019)] 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.

MSC:

 06F15 Ordered groups 20F60 Ordered groups (group-theoretic aspects)

Zbl 0835.06019
Full Text:

References:

 [1] Jakubík, J.: On some completeness properties for lattice-ordered groups. Czechoslovak Math. J. 45 (120) (1995), 253-266. · Zbl 0835.06019
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