Eléments de mathématique : algèbre commutative, Chapitres 8 - 9, dimension; anneaux locaux noethériens complets / N. Bourbaki
Type de document : MonographieLangue : français.Pays: France.Éditeur : Paris : Masson, 1983Description : 1 vol. (200 p.) ; 24 cmISBN: 2225787166.Bibliographie : Index.Sujet MSC : 13C15, Theory of modules and ideals in commutative rings, Dimension theory, depth, related commutative rings13J10, Commutative algebra - Topological rings and modules, Complete rings, completion
13H05, Commutative algebra - Local rings and semilocal rings, Regular local rings
13H15, Commutative algebra - Local rings and semilocal rings, Multiplicity theory and related topics
13E05, Chain conditions, finiteness conditions in commutative ring theory, Commutative Noetherian rings and modulesEn-ligne : ed. Springer Item type:
Monographie
| Current library | Call number | Status | Date due | Barcode |
|---|---|---|---|---|
| CMI Salle S | Séries BOU (Browse shelf(Opens below)) | Available | 08316-01 | |
| CMI Salle S | Séries BOU (Browse shelf(Opens below)) | Available | 08316-02 |
Chapter 8 treats the diverse notions of dimension in the theory of rings, algebras, and modules. In this context, Hilbert-Samuel series for graded (or filtred) modules over polynomial rings, the structure of regular local rings, and multiplicity theories for modules over noetherian rings are also presented. Chapter 9 is more specific in that it developes the advanced structure theory for complete local noetherian rings. (Zentralblatt)
Index
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