Minimal ideals and some applications
Résumé
In these notes we introduce minimal prime ideals and some of their applications. We prove Krull's principal ideal and height theorems and introduce and study the notion of a system of parameters of a local ring. In addition, we give a detailed proof of the formula for the dimension of a polynomial ring over a noetherian ring.
Domaines
Anneaux et algèbres [math.RA]| Origine | Fichiers produits par l'(les) auteur(s) |
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