A remark on fields with the dense orbits property



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Ruiz Sancho, Jesús María (1986) A remark on fields with the dense orbits property. Pacific Journal of Mathematics, 121 (1). pp. 189-192. ISSN 0030-8730

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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

Item Type:Article
Uncontrolled Keywords:Dense orbits property; formally real field; order space; germs of meromorphic functions; real irreducible analytic germ; orderings; separation of semianalytic subgerms
Subjects:Sciences > Mathematics > Algebraic geometry
ID Code:20434
Deposited On:14 Mar 2013 17:04
Last Modified:19 Feb 2019 12:50

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