RT Journal Article
T1 On chains of prime ideals in rings of semialgebraic functions
A1 Fernando Galván, José Francisco
AB In this work, we study the structure of non-refinable chains of prime ideals in the (real closed) rings s(M) and s*(M) of semialgebraic and bounded semialgebraic functions on a semialgebraic set M⊂ℝm. We pay special attention to the prime z-ideals of s(M) and the minimal prime ideals of both rings. For the last, a decomposition of each semialgebraic set as an irredundant finite union of closed pure dimensional semialgebraic subsets plays a crucial role. We prove moreover the existence of maximal ideals in the ring s(M) of prefixed height whenever M is non-compact.
PB Oxford University Press
SN 0033-5606
YR 2014
FD 2014
LK https://hdl.handle.net/20.500.14352/33884
UL https://hdl.handle.net/20.500.14352/33884
LA eng
DS Docta Complutense
RD 10 abr 2025