Characteristic tilting modules and Ringel duals
β Scribed by Changchang Xi
- Publisher
- SP Science China Press
- Year
- 2000
- Tongue
- English
- Weight
- 615 KB
- Volume
- 43
- Category
- Article
- ISSN
- 1674-7283
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π 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
Given two rings R and S, we study the category equivalences T T Β‘ Y Y, where T T is a torsion class of R-modules and Y Y is a torsion-free class of S-modules. These Ε½ . equivalences correspond to quasi-tilting triples R, V, S , where V is a bimodule R S which has, ''locally,'' a tilting behavior. Co