|Sunday 24 January 2021|
|Events for day: Thursday 21 January 2021|
| 11:00 - 13:00 Commutative Algebra Seminar|
Locally Finite Dimensional Representations over Noetherian Hopf Algebras
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 ...
11:00 - 12:00 Theory Weekly Seminar (TWS)-google meet
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