February 25, 2020
1:50PM - 3:00PM
University Hall 51
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2020-02-25 14:50:00
2020-02-25 16:00:00
Logic Seminar - Marcos Mazari-Armida
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.
University Hall 51
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Add to Calendar
2020-02-25 13:50:00
2020-02-25 15:00:00
Logic Seminar - Marcos Mazari-Armida
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.
University Hall 51
Department of Mathematics
math@osu.edu
America/New_York
public
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.
