Gorenstein Dimensions - Lars W. Christensen

Gorenstein Dimensions

Buch | Softcover
X, 210 Seiten
2000 | 2000
Springer Berlin (Verlag)
978-3-540-41132-1 (ISBN)
58,84 inkl. MwSt
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.

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
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