Publication: A remark on fields with the dense orbits property
Loading...
Full text at PDC
Publication Date
1986
Authors
Advisors (or tutors)
Editors
Journal Title
Journal ISSN
Volume Title
Publisher
Pacific Journal of Mathematics
Citations
Exportar
Abstract
Let K be a formally real field and Ω its order space. The automorphisms group of K acts on Ω, and K is called D.O.P. when all the orbits are dense in Ω. In this note the following is shown: The field of meromorphic function germs of a real irreducible analytic germ of dimension > 1 is never D.O.P
Description
UCM subjects
Unesco subjects
Keywords
Citation
S. S. Abhyankar and M. van der Put, Homomorphisms of analytic local rings, J. Reine Angew Math., 242 (1970), 27-33.
D. W. Dubois and T. Recio, Order extensions and real algebraic geometry, in Amer. Math. Soc. Contemporary Math., 8 (1981).
J. M. Gamboa, A characterization of rational and elliptic curves in terms of their space of orderings, Rocky Mountain J. Math., 14 (1984), 499-502.
J. M. Gamboa and T. Recio, Ordered fields with the dense orbits property, J. Pure Appl. Algebra, 30 (1983), 237-246.
J. M. Ruiz, Central orderings in fields of meromorphic function germs, Manuscripta Math., 46 (1984), 193-214.
J. M. Ruiz, A note on a separation problem, Arch. Math., 43 (1984), 422-426.