Título:
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On Prime Ideals In Rings Of Semialgebraic Functions
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Autores:
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Gamboa, J. M.
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Tipo de documento:
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texto impreso
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Editorial:
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American Mathematical Society, 1993
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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/restrictedAccess
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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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It is proved that if p is a prime ideal in the ring S{M) of semialgebraic functions on a semialgebraic set M, the quotient field of S(M)/p is real closed. We also prove that in the case where M is locally closed, the rings S(M) and P(M)—polynomial functions on M—have the same Krull dimension.
The proofs do not use the theory of real spectra.
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En línea:
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https://eprints.ucm.es/id/eprint/15368/1/25.pdf
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