IPM Calendar 
Friday 22 January 2021   Today  
Events for day: Thursday 14 January 2021    
           11:00 - 13:00     Commutative Algebra Webinar
Locally Finite Dimensional Representations over Noetherian 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 ...