Artículo
Stone duality for Dedekind σ-complete ℓ-groups with order-unit
Fecha de publicación:
12/2006
Editorial:
Elsevier
Revista:
Journal Of Algebra
ISSN:
0021-8693
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
Building on the Goodearl–Handelman–Lawrence functional representation theorem, we provide a purely topological representation (specifically, a categorical duality) for a large class of Dedekind σ-complete ℓ-groups G with order-unit u, including all G where u has a finite index of nilpotence. Our duality is a far-reaching generalization of the well-known Stone duality between σ-complete boolean algebras and basically disconnected compact Hausdorff spaces.
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Articulos(IAM)
Articulos de INST.ARG.DE MATEMATICAS "ALBERTO CALDERON"
Articulos de INST.ARG.DE MATEMATICAS "ALBERTO CALDERON"
Citación
Cignoli, Roberto Leonardo Oscar; Mundici, Daniele; Stone duality for Dedekind σ-complete ℓ-groups with order-unit; Elsevier; Journal Of Algebra; 302; 2; 12-2006; 848-861
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