Subgroups and Hulls of Specker Lattice-Ordered Groups


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Abstract

In this article, it will be shown that every ℓ-subgroup of a Specker ℓ-group has singular elements and that the class of ℓ-groups that are ℓ-subgroups of Specker ℓ-group form a torsion class. Methods of adjoining units and bases to Specker ℓ-groups are then studied with respect to the generalized Boolean algebra of singular elements, as is the strongly projectable hull of a Specker ℓ-group.

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