Gorenstein Dimensions
Seiten
2000
|
2000
Springer Berlin (Verlag)
978-3-540-41132-1 (ISBN)
Springer Berlin (Verlag)
978-3-540-41132-1 (ISBN)
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.
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.
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.
| Erscheint lt. Verlag | 6.11.2000 |
|---|---|
| Reihe/Serie | Lecture Notes in Mathematics |
| Zusatzinfo | X, 210 p. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 318 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Algebra |
| Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
| Schlagworte | 13-02 • 13C15 • 13D02 • 13D05 • 13D07 • 13D25 • 13E05 • 13H10 • 18G25 • Algebra • Auslander-Buchsbaum formulas • Cohen-Macaulay rings • commutative property • Foxby equivalence • Gorenstein dimensions • Gorenstein rings • Invariant • Mathematics Subjekt Classification • Morphism • Proof |
| ISBN-10 | 3-540-41132-1 / 3540411321 |
| ISBN-13 | 978-3-540-41132-1 / 9783540411321 |
| Zustand | Neuware |
| Haben Sie eine Frage zum Produkt? |
Mehr entdecken
aus dem Bereich
aus dem Bereich
Buch | Softcover (2022)
Springer Spektrum (Verlag)
CHF 55,95
