Orderings On Real Surfaces



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Gamboa, J. M. 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


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 08:36
Last Modified:02 Mar 2016 14:43

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