Lateral completion and structure sheaf of an archimedean l-group

• Autores: Wolfgang Rump , Yi Chuan Yang
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 213, Nº 1, 2009, págs. 136-143
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2008.05.013
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• Resumen

  • We show that the lateral completion GL of an archimedean lattice-ordered group G can be obtained directly from the structure sheaf of G. Combined with a natural embedding of GL into the l-group of almost everywhere defined continuous functions on the Stone space associated to G, we get a simple construction of the essential closure of G.