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Subgroups and hulls of Specker lattice-ordered groups. (English) Zbl 0978.06011
Summary: It is shown that every $$\ell$$-subgroup of a Specker $$\ell$$-group has singular elements and that the class of $$\ell$$-groups that are $$\ell$$-subgroups of a Specker $$\ell$$-group form a torsion class. Methods of adjoining units and bases to Specker $$\ell$$-groups are then studied with respect to the generalized Boolean algebra of singular elements, as is the strongly projectable hull of a Specker $$\ell$$-group.

MSC:
 06F20 Ordered abelian groups, Riesz groups, ordered linear spaces 06F25 Ordered rings, algebras, modules 46A40 Ordered topological linear spaces, vector lattices 12J15 Ordered fields
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References:
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