## 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.

### MSC:

 06F15 Ordered groups

### Keywords:

lattice-ordered group; interpolation rule; radical class
Full Text:

### References:

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