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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, Commutative algebra -- General commutative ring theory, Valuations and their generalizations
13B22, Commutative algebra -- Ring extensions and related topics, Integral closure of rings and ideals; integrally closed rings, related rings (Japanese, etc.)
13B35, Commutative algebra -- Ring extensions and related topics, Completion
13C20, Commutative algebra -- Theory of modules and ideals, Class groups
13F05, Commutative algebra -- Arithmetic rings and other special 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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