Gamboa Mutuberria, José Manuel and Alonso García, María Emilia and Ruiz Pérez, Javier
(1984)
*Orderings On Real Surfaces.*
Comptes Rendus de l'Académie des Sciences. Série I. Mathématique , 298
(1).
pp. 17-19.
ISSN 0764-4442

## Abstract

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 an

irreducible 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.

Item Type: | Article |
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Subjects: | Sciences > Mathematics > Algebra |

ID Code: | 15506 |

Deposited On: | 07 Jun 2012 08:36 |

Last Modified: | 08 May 2013 16:13 |

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