Algèbre: Chapitre 8 (Elements De Mathematique) (French by N. Bourbaki

By N. Bourbaki

Ce huitième chapitre du Livre d'Algèbre, deuxième Livre des Éléments de mathématique, est consacré à l'étude de certaines periods d'anneaux et des modules sur ces anneaux.

Il couvre les notions de module et d'anneau noethérien et artinien, ainsi que celle de radical. Ce chapitre décrit également los angeles constitution des anneaux semi-simples. Nous y donnons aussi los angeles définition de divers groupes de Grothendieck qui jouent un rôle universel pour les invariants de modules et plusieurs descriptions du groupe de Brauer qui intervient dans l. a. type des anneaux simples.

Une notice historique en fin de quantity, reprise de l'édition précédente, retrace l'émergence d'une grande partie des notions développées.

Ce quantity est une deuxième édition entièrement refondue de l'édition de 1958.

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