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Gamboa, J. M.
(1993)
*On Prime Ideals In Rings Of Semialgebraic Functions.*
Proceedings of the American Mathematical Society, 118
(4).
pp. 1037-1041.
ISSN 0002-9939

PDF
Restringido a Repository staff only 497kB |

Official URL: http://www.ams.org/journals/proc/1993-118-04/S0002-9939-1993-1140669-6/S0002-9939-1993-1140669-6.pdf

## Abstract

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.

Item Type: | Article |
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Uncontrolled Keywords: | Prime Ideal In The Ring Of Semialgebraic Functions; Krull Dimension |

Subjects: | Sciences > Mathematics > Algebraic geometry |

ID Code: | 15368 |

Deposited On: | 25 May 2012 09:13 |

Last Modified: | 22 Aug 2018 10:09 |

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