Monotone -complete RC-groups

• Autores: David J. Foulis, Sylvia Pulmannová
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 73, Nº 2, 2006, págs. 304-324
• Idioma: inglés
• DOI: 10.1112/s002461070602271x
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• Resumen

  • An RC-group is a unital group G with a distinguished compression base with respect to which G satisfies the Rickart projection and general comparison properties. We prove that a monotone -complete RC-group is a union of subgroups each of which is a lattice-ordered Dedekind -complete RC-group.