𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Splitters and relative homological algebra

✍ Scribed by Mark Kleiner; Aboubakr Lbekkouri

Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
962 KB
Volume
153
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

Relative Homological Algebra and Purity
Relative Homological Algebra and Purity in Triangulated Categories
✍ Apostolos Beligiannis πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 626 KB

CONTENTS 1. Introduction. 2. Proper classes of triangles and phantom maps. 3. The Steenrod and Freyd category of a triangulated category. 4. Projecti¨e objects, resolutions, and deri¨ed functors. 5. The phantom tower, the cellular tower, homotopy colimits, and compact objects. 6. Localization and th

G-Dimension, Complete Intersection Dimen
G-Dimension, Complete Intersection Dimension, Complexity, and Relative Homological Algebra
✍ Alex Martsinkovsky πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 112 KB

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 modu

Homological algebra and (semi)stable hom
Homological algebra and (semi)stable homotopy
✍ Alex Heller πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 587 KB

If A is a complete and cocomplete abelian category, which we allow ourselves to conflate with the corresponding representable homotopy theory then the 2-functors HochA, taking the small category C to the homotopy category of chain complexes over AC and Hoch+A, with value the homotopy category of pas