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

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 ...