Duality over noetherian rings with a morita duality
✍ Scribed by Pham Ngoc A´nh
- Publisher
- Elsevier Science
- Year
- 1982
- Tongue
- English
- Weight
- 667 KB
- Volume
- 75
- Category
- Article
- ISSN
- 0021-8693
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📜 SIMILAR VOLUMES
Let R and S be arbitrary associative rings. Given a bimodule W , we denote by R S Ž . 1 Ž . ⌬ and ⌫ the functors Hom y, W and Ext y, W , where ? s R or S. The ? ? ? ? functors ⌬ and ⌬ are right adjoint with the evaluation maps ␦ as unities. A R S module M is ⌬-reflexive if ␦ is an isomorphism. In th
Let A be an algebra over a commutative ring R. If R is noetherian and A • is pure in R A , then the categories of rational left A-modules and right A • -comodules are isomorphic. In the Hopf algebra case, we can also strengthen the Blattner-Montgomery duality theorem. Finally, we give sufficient con