✦ LIBER ✦
G-Dimension, Complete Intersection Dimension, Complexity, and Relative Homological Algebra
✍ Scribed by Alex Martsinkovsky
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 112 KB
- Volume
- 230
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
✦ Synopsis
It is shown that the G-dimension and the complete intersection dimension are relative projective dimensions. Relative Auslander-Buchsbaum formulas are discussed. New cohomology theories, called complexity cohomology, are constructed. The new theories play the same role in identifying rings (and modules) with prescribed complexity as Tate-Vogel cohomology does in identifying modules of finite projective dimension.