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Subgroups and hulls of Specker lattice-ordered groups
Czechoslovak Mathematical Journal, Tome 51 (2001) no. 2, pp. 395-413 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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In this article, it will be 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 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.
In this article, it will be 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 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.
Classification : 06F15, 06F20, 06F25, 12J15, 46A40
Keywords: lattice-ordered groups; $f$-rings; Specker groups 
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     title = {Subgroups and hulls of {Specker} lattice-ordered groups},
     journal = {Czechoslovak Mathematical Journal},
     pages = {395--413},
     year = {2001},
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}
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Conrad, Paul F.; Darnel, Michael R. Subgroups and hulls of Specker lattice-ordered groups. Czechoslovak Mathematical Journal, Tome 51 (2001) no. 2, pp. 395-413. http://geodesic.mathdoc.fr/item/CMJ_2001_51_2_a13/

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