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INICIO |
27 de julio de 2024
Maximal non-Jaffard subrings of a field.
| Título inglés | Maximal non-Jaffard subrings of a field. |
|---|---|
| Título español | Subanillos no-Jaffard máximos de un campo. |
| Autor/es | Ben Nasr, Mabrouk ; Jarboui, Noôman |
| Organización | Dep. Math. Fac. Sci. Univ. Sfax, Sfax, Túnez |
| Revista | 0214-1493 |
| Publicación | 2000, 44 (1): 157-175, 22 Ref. |
| Tipo de documento | articulo |
| Idioma | Inglés |
| Resumen inglés | A domain R is called a maximal non-Jaffard subring of a field L if R Ì L, R is not a Jaffard domain and each domain T such that R Ì T Í L is Jaffard. We show that maximal non-Jaffard subrings R of a field L are the integrally closed pseudo-valuation domains satisfying dimv R = dim R + 1. Further characterizations are given. Maximal non-universally catenarian subrings of their quotient fields are also studied. It is proved that this class of domains coincides with the previous class when R is integrally closed. Moreover, these domains are characterized in terms of the altitude formula in case R is not integrally closed. An example of a maximal non-universally catenarian subring of its quotient field which is not integrally closed is given (Example 4.2). Other results and applications are also given. |
| Clasificación UNESCO | 120105 |
| Palabras clave español | Anillos conmutativos ; Subanillos ; Dimensión de Krull ; Dominios estructurales |
| Código MathReviews | MR1775744 |
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