Subgroups and hulls of Specker lattice-ordered groups

• Autores: Paul F. Conrad, Michael R. Darnel
• Localización: Czechoslovak mathematical journal, ISSN 0011-4642, Vol. 51, Nº 2, 2001, págs. 395-414
• Idioma: inglés
• DOI: 10.1023/a:1013759300701
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• Resumen

  • 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.