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Item Details
| Title:
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ALGEBRE LOCALE MULTIPLICITES : COURS AU COLLEGE D
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| By: |
P. Gabriel |
| Format: |
Paperback |
| List price:
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£24.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
3540070281 |
| ISBN 13: |
9783540070283 |
| Publisher: |
SPRINGER-VERLAG BERLIN AND HEIDELBERG GMBH & CO. KG |
| Pub. date: |
21 February, 1975 |
| Edition: |
3rd ed. |
| Pages: |
176 |
| Synopsis: |
Chapitre I. 1DIAUX PIlEMIEIS IT LOCALISATION I I. Wotationa et definitions I 2. Lemme de Bakay. . . . 2 3. Localisation - - - 4. Anneaux et 80dules noethiriens 2 5. Spectre------ 3 4 6. Le cas noetherien. 4 7. Ideaux pre. iers associe. Chapitre 11. OUTILS IT SOUTES A) Filtr-ations et graduations. 8 I. Anneaux et modules filtres - 8 2. Topologie definie par UDe filtration 9 10 3. Coapletion des modules filtres - - - II 4. Anneaux et modules graduis - - - - - 5. au tout redevient noethirien; filtrations -adiques. 15 20 6. Modules differentiels filtres------------ B) Polynoaes de Hilbert-SamueL ----------- 26 I. Rappel sur les polynOmes Ii valeurs entieres---- 26 27 2. Fonctions additives sur les categories de modules. 29 3. Le polynOme caractiristique de Hilbert 32 4. Les invariants de Hilbert-Samuel Chapitre 111. T1IORlE DE LA DDlE!ISION A) Dimension des extensions. entieres. 38 I. Definitions. - - - - - - - - - - - - 38 2. Le premier theore- de Cohen-Seidenberg. 39 3. Le second theoreme de Cohen-Seidenberg - 4I B) Dimension dans les anneaux noetheriens. 43 I. Dimension d'un module. - - - 43 2. Le cas semi-local noetherien 44 3. Syste. es de parametres 47 C) Anneaux normaux 48 I. caracterisation des anneaux normaux. 48 2. Proprietes des anneaux noraaux 51 3. Fermeture integrale. 53 D) Anneaux de polynomes. - - - - - 54 I. |
| Illustrations: |
black & white illustrations |
| Publication: |
Germany |
| Imprint: |
Springer-Verlag Berlin and Heidelberg GmbH & Co. K |
| Returns: |
Returnable |
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