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Eléments de mathématique : algèbre, Chapitre 6 - 7, groupes et corps ordonnés; modules sur les anneaux principaux / N. Bourbaki

Auteur principal : Bourbaki, Nicolas, AuteurType de document : MonographieCollection : Actualités scientifiques et industrielles, 1179Langue : français.Pays : France.Éditeur : Paris : Hermann, 1964Description : 1 vol. (173 p.-[2] dépl.) ; 24 cmISSN : 0365-6861.Bibliographie : Bibliogr. p. [165]-166. Index.Sujet MSC : 13A18, General commutative ring theory, Valuations and their generalizations for commutative rings
13B22, Commutative ring extensions and related topics, Integral closure of commutative rings and ideals; integrally closed rings, related rings
13B35, Commutative ring extensions and related topics, Completion of commutative rings
13C20, Theory of modules and ideals in commutative rings, Class groups
13F05, Arithmetic rings and other special commutative rings, Dedekind, Prüfer, Krull and Mori rings and their generalizations
En-ligne : ed. Springer
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Chapter 6 provides an extensive account of valuation theory for rings and fields, together with its topological aspects (completions and locally compact fields) and the related ramification theory. Chapter 7 developes the general algebraic theory of divisors, with particular emphasis put on Krull rings, Dedekind rings, factorial rings, and their respective module theory. (Zentralblatt)

Bibliogr. p. [165]-166. Index

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