| Thursday 25 April 2024 | |
| Events for day: Thursday 14 January 2021 |
| 11:00 - 13:00 Commutative Algebra Webinar Locally Finite Dimensional Representations over Noetherian Algebras School MATHEMATICS Shortly after Eckmann and Schopf's definition of the concept of an injective modules, Matlis showed that the injective hull of a simple module over a commutative Noetherian ring R is Artinian. Vamos showed that the latter condition is actually equivalent to the commutative ring R being locally Noetherian. However, injective hulls of simple modules over non-commutative Noetherian rings might not be Artinian. Slightly different, but related, one might consider Noetherian algebras A over a field F and ask whether any finitely generated submodule of the injective hull of a finite dimensional simple A-module need to be finite dimensional. In othe ... |