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Algebre Locale Multiplicites paperback french - March 15,2002

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PublisherSpringer-Verlag Berlin and Heidelberg GmbH & Co.
ISBN 139783540070283
ISBN 103540070281
Book SubtitleCours Au College D
Book DescriptionChapter I. PILEMENIC IDEALS IT LOCALIZATION I I. Wotationa and Definitions I. Lemma of Bakay. . . . 2 3. Location - - - 4. Noethrian rings and 80dules 2 5. Spectrum ------ 3 4 6. The Noetherian case. 4 7. Ideas pre. associates. Chapter 11. SAFE IT TOOLS A) Filtrations and graduations. 8 I. Rings and filter modules - 8 2. Topology defined by UFiltration 9 10 3. Coapletion of filter modules - - - II 4. Rings and gradual modules - - - - - 5. everything becomes Noethirian again; -adic filtrations. 6. Filters Differential Modules ------------ B) Hilbert-SamueL Polynoa ----------- 26 I. Reminder on polynomials Ii integer values ​​--- - 26 27 2. Additive functions on the categories of modules. 29 3. Hilbert's characteristic polynomial 32 4. The invariants of Hilbert-Samuel Chapter 111. T1I ORLE OF THE DDLE! ISION A) Dimension of the extensions. WHOLE. I. Definitions. - - - - - - - - - - - - 38 2. The first theore- of Cohen-Seidenberg. 39 3. Cohen-Seidenberg's second theorem - 4I B) Dimension in Noetherian rings. 43 I. Dimension of a module. - - - 43 2. The Noetherian semi-local case 44 3. Syste. Parameters 47 C) Normal rings 48 I. Characterization of normal rings. 48 2. Properties of the normal rings 51 3. Integral closure. 53 D) Polynomial rings. - - - - - 54 I. Parameters 47 C) Normal rings 48 I. Characterization of normal rings. 48 2. Properties of the normal rings 51 3. Integral closure. 53 D) Polynomial rings. - - - - - 54 I. Parameters 47 C) Normal rings 48 I. Characterization of normal rings. 48 2. Properties of the normal rings 51 3. Integral closure. 53 D) Polynomial rings. - - - - - 54 I
LanguageFrench
AuthorJean-Pierre Serre
Publication DateMarch 15,2002
Number of Pages176

Algebre Locale Multiplicites paperback french - March 15,2002

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