Czechoslovak Mathematical Journal, Vol. 54, No. 2, pp. 499-507, 2004

On some interpolation rules
for lattice ordered groups

Jan Jakubik

Matematicky ustav SAV, Gresakova 6, 040 01 Kosice, Slovakia, e-mail: kstefan@saske.sk

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

Keywords: lattice ordered group, interpolation rule, radical class

Classification (MSC 2000): 06F15


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