Algèbre commutative: Chapitres 1 à 4, Édition 2
May 2007 · Algèbre commutative Book 1 · Springer Science & Business Media
eBook
356
Pages
About this eBook
Les Éléments de mathématique de Nicolas Bourbaki ont pour objet une présentation rigoureuse, systématique et sans prérequis des mathématiques depuis leurs fondements.
Ce premier volume du Livre d’Algèbre commutative, septième Livre du traité, est consacré aux concepts fondamentaux de l’algèbre commutative. Il comprend les chapitres: 1. Modules plats; 2. Localisation; 3. Graduations, filtrations et topologies; 4. Idéaux premiers associés et décomposition primaire.
Il contient également des notes historiques.
Ce volume est une réimpression de l’édition de 1969.
About the author
Nicolas Bourbaki is the pseudonym for a group of mathematicians that included Henri Cartan, Claude Chevalley, Jean Dieudonne, and Andres Weil. Mostly French, they emphasized an axiomatic and abstract treatment on all aspects of modern mathematics in Elements de mathematique. The first volume of Elements appeared in 1939. Subsequently, a wide variety of topics have been covered, including works on set theory, algebra, general topology, functions of a real variable, topological vector spaces, and integration. One of the goals of the Bourbaki series is to make the logical structure of mathematical concepts as transparent and intelligible as possible. The books listed below are typical of volumes written in the Bourbaki spirit and now available in English.
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