Foxby equivalence, complete modules, and torsion modules
✍ Scribed by Anders Frankild; Peter Jørgensen
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 139 KB
- Volume
- 174
- Category
- Article
- ISSN
- 0022-4049
No coin nor oath required. For personal study only.
✦ Synopsis
Taking the idea from classical Foxby equivalence, we develop an equivalence theory for derived categories over di erential graded algebras. Both classical Foxby equivalence and the Morita equivalence for complete modules and torsion modules developed by Dwyer and Greenlees arise as special cases.
📜 SIMILAR VOLUMES
We generalize basic results about classical tilting modules and partial tilting modules to the infinite dimensional case, over an arbitrary ring \(R\). The methods employed combine classical techniques of representation theory of finite dimensional algebras with new techniques of the theory of *-mod