Miscellaneous results on prime ideals
Résumé
In these notes, we present various useful results concerning prime ideals. We characterize prime and maximal ideals in Z[X] and introduce the height of an ideal and the dimension of a ring. In particular, we provide bounds for the dimension of a polynomial ring. We also study in detail radicals and certain proprieties of artinian and noetherian rings. We give a proof of the prime avoidance lemma.
Domaines
Anneaux et algèbres [math.RA]| Origine | Fichiers produits par l'(les) auteur(s) |
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