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 |
|---|---|
| Subjects: | Sciences > Mathematics > Algebra |
| ID Code: | 15506 |
| Deposited On: | 07 Jun 2012 10:36 |
| Last Modified: | 08 May 2013 18:13 |
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