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- W2043229999 abstract "Résumé Soit D un anneau intègre noethérien. On etudie le radical hilbertien de D (ensemble des èlèménts f tels que Df est un anneau de Hilbert) et on donne des conditions pour que D tout un anneau de Hilbert, en relation avec son radical dimensionnel. Enfin, on caracterise les anneaux de Hilbert par diverses conditions de chaine. On montre en particulier que D est un anneau de Hilbert si et seulement si, pour tout ideal premier 𝔅 de D[X], de trace 𝔭 dans D, la cohauteur de p dans D est majoree par celle de 𝔅 dans D[X]." @default.
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- W2043229999 date "1999-01-01" @default.
- W2043229999 modified "2023-09-26" @default.
- W2043229999 title "Anneaux noethériens de hilbert" @default.
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- W2043229999 doi "https://doi.org/10.1080/00927879908826667" @default.
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