Gorenstein Dimensions
This book is intended as a reference for mathematicians working with homological dimensions in commutative algebra and as an introduction to Gorenstein dimensions for graduate students with an interest in the same. Any admirer of classics like the Auslander-Buchsbaum-Serre characterization of regula...
Enregistré dans:
| Hovedforfatter: | |
|---|---|
| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Serier: | Lecture notes in mathematics
1747 |
| Fag: | |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Kommentar: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Gorenstein dimensions, Lars Winther Christensen, 2000, Berlin, Springer, 1 vol. (VIII-204 p.), Lecture notes in mathematics, 3-540-41132-1 • Gorenstein Dimensions, Texte imprimé, 9783662189207 |
Indholdsfortegnelse:
- Introduction
- Synopsis
- Conventions and prerequisites
- The classical Gorenstein dimension
- G-dimension and reflexive complexes
- Auslander categories
- G-projectivity. - G-injectivity
- Appendix: Hyperhomology. Basic definitions and notation. Standard functors and morphisms. Resolutions. Almost derived functors. Homological dimensions. Depth and width. Numerical and formal invariants. Dualizing complexes.