RT Journal Article
T1 On Prime Ideals In Rings Of Semialgebraic Functions
A1 Gamboa Mutuberria, José Manuel
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 functions on M—have the same Krull dimension. The proofs do not use the theory of real spectra.
PB American Mathematical Society
SN 0002-9939
YR 1993
FD 1993
LK https://hdl.handle.net/20.500.14352/57279
UL https://hdl.handle.net/20.500.14352/57279
LA eng
DS Docta Complutense
RD 6 abr 2025