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
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