
Title: Characterizing some classes of rings via superstability
Speaker: Marcos Mazari-Armida - Carnegie-Mellon
Abstract: I will show how superstability of certain classes of modules can be used to characterize some well-studied classes of rings, among them noetherian rings. None of the classes of modules that I will consider are axiomatizable by a complete first-order theory and some of them are not even first-order axiomatizable, but they are all Abstract Elementary Classes. This new way of looking at classes of modules as AECs will be emphasized as I think it can have interesting applications.