Gorenstein Dimensions

• Main Author: Christensen, Lars W. (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2000.
• Edition: 1st ed. 2000.
• Series: Lecture Notes in Mathematics, 1747
• Subjects: Algebra.; K-theory.; Mathematics.; K-Theory.; Mathematics, general.

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...

Table of Contents:

• 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.