𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Baer and Morita Duality

✍ Scribed by Pham Ngoc Ánh; Dolors Herbera; Claudia Menini


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
174 KB
Volume
232
Category
Article
ISSN
0021-8693

No coin nor oath required. For personal study only.

✦ Synopsis


Grothendieck's condition AB5 * is used to characterize Baer dualities, i.e, triples (R R U T T ) consisting of rings R T and a bimodule R U T faithful on both sides such that the lattices of R R and U T submodules, as well as R U and T T , are anti-isomorphic.


📜 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