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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.

06F20 Ordered abelian groups, Riesz groups, ordered linear spaces
06F25 Ordered rings, algebras, modules
46A40 Ordered topological linear spaces, vector lattices
12J15 Ordered fields
Full Text: DOI EuDML
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