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...
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| 1. Verfasser: | |
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| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
Berlin [etc.] :
Springer
[20..].
Cham : Springer Nature |
| Schriftenreihe: | Lecture notes in mathematics
1747 |
| Schlagworte: | |
| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
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| 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 |
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| 100 | 1 | |a Christensen, Lars Winther, |d 1969- | |
| 245 | 1 | 0 | |a Gorenstein Dimensions |c Lars Winther Christensen. |
| 260 | |a Berlin [etc.] : |b Springer. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture notes in mathematics |v 1747 |x 1617-9692 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 regular rings, and the Bass and Auslander-Buchsbaum formulas for injective and projective dimension of f.g. modules will be intrigued by this book's content. Readers should be well-versed in commutative algebra and standard applications of homological methods. The framework is that of complexes, but all major results are restated for modules in traditional notation, and an appendix makes the proofs accessible for even the casual user of hyperhomological methods. | ||
| 650 | |a Cohomologie | ||
| 650 | |a Homologie | ||
| 650 | |a Mathématiques | ||
| 650 | |a K-théorie | ||
| 776 | 0 | |0 06954865X |t Gorenstein dimensions |f Lars Winther Christensen |d 2000 |c Berlin |n Springer |p 1 vol. (VIII-204 p.) |s Lecture notes in mathematics |z 3-540-41132-1 | |
| 776 | 0 | |t Gorenstein Dimensions |b Texte imprimé |z 9783662189207 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/BFb0103980 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-VJDSV3K9-T |z Accès sur la plateforme Istex | |
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