On some interpolation rules for lattice ordered groups. (English) Zbl 1080.06028

Summary: Let \(\alpha \) be an infinite cardinal. In this paper we define an interpolation rule \(\text{IR}(\alpha )\) for lattice-ordered groups. We denote by \(C(\alpha )\) the class of all lattice-ordered groups satisfying \(\text{IR}(\alpha )\), and prove that \(C (\alpha )\) is a radical class.


06F15 Ordered groups
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