𝔖 Bobbio Scriptorium
✦   LIBER   ✦

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

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Generalizing Morita Duality: A Homologic
✍ Alberto Tonolo 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 131 KB

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

Duality and Rational Modules in Hopf Alg
✍ J.Y Abuhlail; J Gómez-Torrecillas; F.J Lobillo 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 155 KB

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