RT Journal Article
T1 Orderings and maximal ideals of rings of analytic functions.
A1 Díaz-Cano Ocaña, Antonio
AB We prove that there is a natural injective correspondence between the maximal ideals of the ring of analytic functions on a real analytic set X and those of its subring of bounded analytic functions. By describing the maximal ideals in terms of ultrafilters we see that this  correspondence is surjective if and only if X is compact. This approach is also useful for studying the orderings of the field of meromorphic functions on X.
PB America Mathematical Society
SN 1088-6826
YR 2005
FD 2005
LK https://hdl.handle.net/20.500.14352/49882
UL https://hdl.handle.net/20.500.14352/49882
LA eng
NO European Community’s Human Potential Programme
NO RAAG
NO GAAR
DS Docta Complutense
RD 8 abr 2025