TY - JOUR AU - Gamboa Mutuberria, José Manuel PY - 1993 DO - 10.2307/2160055 SN - 0002-9939 UR - https://hdl.handle.net/20.500.14352/57279 T2 - Proceedings of the American Mathematical Society AB - 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... LA - eng M2 - 1037 PB - American Mathematical Society KW - Prime Ideal In The Ring Of Semialgebraic Functions KW - Krull Dimension TI - On Prime Ideals In Rings Of Semialgebraic Functions TY - journal article VL - 118 ER -