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Título:
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Orderings and maximal ideals of rings of analytic functions.
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Autores:
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Díaz-Cano Ocaña, Antonio
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Tipo de documento:
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texto impreso
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Editorial:
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America Mathematical Society, 2005
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Dimensiones:
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application/pdf
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Nota general:
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info:eu-repo/semantics/openAccess
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Idiomas:
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Palabras clave:
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Estado = Publicado
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Materia = Ciencias: Matemáticas: Geometria algebraica
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Tipo = Artículo
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Resumen:
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We prove that there is a natural injective correspondence between the maximal ideals of the ring of analytic functions on a real analytic set X and those of its subring of bounded analytic functions. By describing the maximal ideals in terms of ultrafilters we see that this correspondence is surjective if and only if X is compact. This approach is also useful for studying the orderings of the field of meromorphic functions on X.
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En línea:
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https://eprints.ucm.es/id/eprint/15040/1/53ea5d090cf2fb1b9b677a5f.pdf
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