RT Journal Article
T1 Orderings On Real Surfaces
A1 Gamboa Mutuberria, José Manuel
A1 Alonso García, María Emilia
A1 Ruiz Pérez, Javier
AB After describing explicitly all total orderings in the ring R[[x, y]], we prove that each ordering in the quotient field of the ring of germs of real analytic functions at anirreducible point O of a real analytic surface X is defined by a half-branch of the germ at O of some curve on X, which is analytic off the origin. Then follows an analogous result for real algebraic surfaces.
PB Elsevier
SN 0764-4442
YR 1984
FD 1984
LK https://hdl.handle.net/20.500.14352/64631
UL https://hdl.handle.net/20.500.14352/64631
DS Docta Complutense
RD 14 dic 2025