Subgroups and Hulls of Specker Lattice-Ordered Groups |
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| Authors: | Paul F Conrad Michael R Darnel |
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| Institution: | (1) Department of Mathematics, P. F. Conrad, University of Kansas, USA;(2) Department of Mathematics, Indiana University, South Bend, USA |
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| Abstract: | In this article, it will be shown that every  -subgroup of a Specker -group has singular elements and that the class of -groups that are -subgroups of Specker -group form a torsion class. Methods of adjoining units and bases to Specker -groups are then studied with respect to the generalized Boolean algebra of singular elements, as is the strongly projectable hull of a Specker -group. |
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| Keywords: | lattice-ordered groups f-rings Specker groups |
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