RT Journal Article
T1 Subfields of a real closed field of countable codimension
A1 Gamboa Mutuberria, José Manuel
AB Let R be a real closed field and let K be a subfield of R such that R/K is a proper algebraic extension. The main result of this paper (Theorem 2.6) states that there exists {Kn:n∈N} a countable family of countable codimension subfields of R containing K such that Ks⊆Kt if s∣t and R=⋃n∈NKn.    Among other consequences of this result, it is shown that (Corollary 3.1) every real closed field contains a countable family of countable codimension subfields and (Proposition 3.7) if F is the family of all countable codimension subfields of a real closed field, then ⋂E∈FE=Q.
PB Elsevier
SN 0022-4049
YR 2021
FD 2021-05-17
LK https://hdl.handle.net/20.500.14352/7244
UL https://hdl.handle.net/20.500.14352/7244
LA eng
NO Ministerio de Economía y Competitividad (MINECO)
DS Docta Complutense
RD 9 abr 2025