Convexities of lattice ordered groups

Abstract: In this paper an injective mapping of the class of all infinite cardinals into the collection of all convexities of lattice ordered groups is constructed; this generalizes an earlier result on convexities of $d$-groups.

Keywords: lattice ordered group, convex $\ell$-subgroup, direct product, convexity of lattice ordered groups

Classification (MSC91): 06F15

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