Displaying similar documents to “Cantor-Bernstein theorem for lattice ordered groups”

Subgroups and hulls of Specker lattice-ordered groups

Paul F. Conrad, Michael R. Darnel (2001)

Czechoslovak Mathematical Journal

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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.