| Título: | Orderings On Real Surfaces |
| Autores: | Gamboa, J. M. ; Alonso García, María Emilia ; Ruiz Pérez, Javier |
| Tipo de documento: | texto impreso |
| Editorial: | Elsevier, 1984 |
| Palabras clave: | Estado = Publicado , Materia = Ciencias: Matemáticas: Álgebra , Tipo = Artículo |
| Resumen: |
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. |
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